04 April 2023 2:47:23.847 PM SPARSE_GRID_MIXED_SIZE_TABLE FORTRAN90 version Tabulate sparse grid size for various rules, levels, dimensions. SPARSE_GRID_MIXED_SIZE_TABLE SPARSE_GRID_MIXED_SIZE returns the number of distinct points in a sparse grid. Here we report the number of polynomials of degree DEGREE or less in the given DIM dimensional space. DIM: 1 2 3 4 5 DEGREE 0 1 1 1 1 1 1 2 3 4 5 6 2 3 6 10 15 21 3 4 10 20 35 56 4 5 15 35 70 126 5 6 21 56 126 252 6 7 28 84 210 462 7 8 36 120 330 792 04 April 2023 2:47:23.847 PM SPARSE_GRID_MIXED_SIZE_TABLE SPARSE_GRID_MIXED_SIZE returns the number of distinct points in a sparse grid. Here we report the number of polynomials of degree DEGREE or less in the given DIM dimensional space. DIM: 6 7 8 9 10 DEGREE 0 1 1 1 1 1 1 7 8 9 10 11 2 28 36 45 55 66 3 84 120 165 220 286 4 210 330 495 715 1001 5 462 792 1287 2002 3003 04 April 2023 2:47:23.847 PM SPARSE_GRID_MIXED_SIZE_TABLE SPARSE_GRID_MIXED_SIZE returns the number of distinct points in a sparse grid. We use the same rule in all dimensions, and count the points for a range of dimensions and levels. 1D rule index is 1 ALPHA parameter is 0.00000 BETA parameter is 0.00000 DIM: 1 2 3 4 5 LEVEL_MAX 0 1 1 1 1 1 1 3 7 10 13 16 2 5 25 52 87 131 3 9 67 195 411 746 4 17 161 609 1573 3376 5 33 371 1710 5257 13083 6 65 837 4502 16035 45458 7 129 1863 11369 45879 145873 04 April 2023 2:47:23.892 PM SPARSE_GRID_MIXED_SIZE_TABLE SPARSE_GRID_MIXED_SIZE returns the number of distinct points in a sparse grid. We use the same rule in all dimensions, and count the points for a range of dimensions and levels. 1D rule index is 1 ALPHA parameter is 0.00000 BETA parameter is 0.00000 DIM: 6 7 8 9 10 LEVEL_MAX 0 1 1 1 1 1 1 19 22 25 28 31 2 184 246 317 397 486 3 1228 1884 2741 3826 5166 4 6430 11222 18319 28369 42101 5 28426 55868 101575 173548 281867 04 April 2023 2:47:24.126 PM SPARSE_GRID_MIXED_SIZE_TABLE SPARSE_GRID_MIXED_SIZE returns the number of distinct points in a sparse grid. We use the same rule in all dimensions, and count the points for a range of dimensions and levels. 1D rule index is 1 ALPHA parameter is 0.00000 BETA parameter is 0.00000 DIM: 100 LEVEL_MAX 0 1 1 301 2 45351 04 April 2023 2:47:24.381 PM SPARSE_GRID_MIXED_SIZE_TABLE SPARSE_GRID_MIXED_SIZE returns the number of distinct points in a sparse grid. We use the same rule in all dimensions, and count the points for a range of dimensions and levels. 1D rule index is 3 ALPHA parameter is 0.00000 BETA parameter is 0.00000 DIM: 1 2 3 4 5 LEVEL_MAX 0 1 1 1 1 1 1 3 7 10 13 16 2 7 29 58 95 141 3 15 95 255 515 906 4 31 273 945 2309 4746 5 63 723 3120 9065 21503 6 127 1813 9484 32259 87358 7 255 4375 27109 106455 325943 04 April 2023 2:47:24.462 PM SPARSE_GRID_MIXED_SIZE_TABLE SPARSE_GRID_MIXED_SIZE returns the number of distinct points in a sparse grid. We use the same rule in all dimensions, and count the points for a range of dimensions and levels. 1D rule index is 16 ALPHA parameter is 0.00000 BETA parameter is 0.00000 DIM: 6 7 8 9 10 LEVEL_MAX 0 1 1 1 1 1 1 19 22 25 28 31 2 196 260 333 415 506 3 1456 2192 3141 4330 5786 4 8626 14666 23407 35551 51881 5 42934 82244 145831 243424 387047 04 April 2023 2:47:24.727 PM SPARSE_GRID_MIXED_SIZE_TABLE SPARSE_GRID_MIXED_SIZE returns the number of distinct points in a sparse grid. We use the same rule in all dimensions, and count the points for a range of dimensions and levels. 1D rule index is 11 ALPHA parameter is 0.00000 BETA parameter is 0.00000 DIM: 1 2 3 4 5 LEVEL_MAX 0 1 1 1 1 1 1 3 7 10 13 16 2 5 25 52 87 131 3 9 67 195 411 746 4 9 145 585 1541 3336 5 17 275 1494 4873 12483 6 17 485 3398 13539 40698 7 17 775 7025 33911 118793 04 April 2023 2:47:24.757 PM SPARSE_GRID_MIXED_SIZE_TABLE SPARSE_GRID_MIXED_SIZE returns the number of distinct points in a sparse grid. We use the same rule in all dimensions, and count the points for a range of dimensions and levels. 1D rule index is 11 ALPHA parameter is 0.00000 BETA parameter is 0.00000 DIM: 6 7 8 9 10 LEVEL_MAX 0 1 1 1 1 1 1 19 22 25 28 31 2 184 246 317 397 486 3 1228 1884 2741 3826 5166 4 6382 11166 18255 28297 42021 5 27562 54692 100039 171604 279467 04 April 2023 2:47:24.935 PM SPARSE_GRID_MIXED_SIZE_TABLE SPARSE_GRID_MIXED_SIZE returns the number of distinct points in a sparse grid. We use the same rule in all dimensions, and count the points for a range of dimensions and levels. 1D rule index is 13 ALPHA parameter is 0.00000 BETA parameter is 0.00000 DIM: 1 2 3 4 5 LEVEL_MAX 0 1 1 1 1 1 1 3 7 10 13 16 2 3 21 46 79 121 3 7 47 147 323 606 4 7 97 393 1061 2366 5 7 163 900 2985 7803 6 15 261 1836 7395 22558 7 15 423 3513 16727 58803 04 April 2023 2:47:24.952 PM SPARSE_GRID_MIXED_SIZE_TABLE SPARSE_GRID_MIXED_SIZE returns the number of distinct points in a sparse grid. We use the same rule in all dimensions, and count the points for a range of dimensions and levels. 1D rule index is 13 ALPHA parameter is 0.00000 BETA parameter is 0.00000 DIM: 6 7 8 9 10 LEVEL_MAX 0 1 1 1 1 1 1 19 22 25 28 31 2 172 232 301 379 466 3 1024 1604 2373 3358 4586 4 4666 8394 14063 22267 33681 5 17686 36100 67879 119476 199207 04 April 2023 2:47:25.083 PM SPARSE_GRID_MIXED_SIZE_TABLE SPARSE_GRID_MIXED_SIZE returns the number of distinct points in a sparse grid. We use the same rule in all dimensions, and count the points for a range of dimensions and levels. 1D rule index is 16 ALPHA parameter is 0.00000 BETA parameter is 0.00000 DIM: 1 2 3 4 5 LEVEL_MAX 0 1 1 1 1 1 1 3 7 10 13 16 2 7 29 58 95 141 3 15 95 255 515 906 4 15 241 897 2245 4666 5 15 499 2640 8233 20223 6 31 917 6748 26243 76158 7 31 1495 15253 74199 254583 04 April 2023 2:47:25.142 PM SPARSE_GRID_MIXED_SIZE_TABLE SPARSE_GRID_MIXED_SIZE returns the number of distinct points in a sparse grid. We use the same rule in all dimensions, and count the points for a range of dimensions and levels. 1D rule index is 16 ALPHA parameter is 0.00000 BETA parameter is 0.00000 DIM: 6 7 8 9 10 LEVEL_MAX 0 1 1 1 1 1 1 19 22 25 28 31 2 196 260 333 415 506 3 1456 2192 3141 4330 5786 4 8626 14666 23407 35551 51881 5 42934 82244 145831 243424 387047 04 April 2023 2:47:25.400 PM SPARSE_GRID_MIXED_SIZE_TABLE SPARSE_GRID_MIXED_SIZE returns the number of distinct points in a sparse grid. We use the same rule in all dimensions, and count the points for a range of dimensions and levels. 1D rule index is 17 ALPHA parameter is 0.00000 BETA parameter is 0.00000 DIM: 1 2 3 4 5 LEVEL_MAX 0 1 1 1 1 1 1 3 6 9 12 15 2 5 25 51 86 130 3 6 61 186 398 730 4 9 124 531 1439 3170 5 10 221 1281 4341 11403 6 11 356 2732 11432 35493 7 15 541 5302 27049 98452 04 April 2023 2:47:25.428 PM SPARSE_GRID_MIXED_SIZE_TABLE SPARSE_GRID_MIXED_SIZE returns the number of distinct points in a sparse grid. We use the same rule in all dimensions, and count the points for a range of dimensions and levels. 1D rule index is 17 ALPHA parameter is 0.00000 BETA parameter is 0.00000 DIM: 6 7 8 9 10 LEVEL_MAX 0 1 1 1 1 1 1 18 21 24 27 30 2 183 245 316 396 485 3 1209 1862 2716 3798 5135 4 6138 10829 17810 27729 41315 5 25641 51576 95310 164781 270006 04 April 2023 2:47:25.610 PM SPARSE_GRID_MIXED_SIZE_TABLE Normal end of execution. 04 April 2023 2:47:25.611 PM