IMPS_2017/FILES/09_26

• 09_26.pdf, Lecture notes (PDF);
• 09_26.ppt, Lecture notes (PowerPoint);
• derangement_keep2.m, a two-step stepping stone procedure for counting derangements.
• fibonacci_formula.m, a direct formula for the n-th Fibonacci number;
• fibonacci_keep2.m, a two-step stepping stone procedure for the n-th Fibonacci number;
• fibonacci_ratio.m, compare ratios of successive Fibonacci numbers to the golden ratio;
• gardner_1969_03.pdf, a discussion by Martin Gardner about the Fibonacci sequence;
• hail_3nm1.m, the "3*n-1" version of the hailstone sequence;
• hail_5np1.m, the "5*n+1" version of the hailstone sequence;
• hail_height.m, computes the highest value in a hailstone sequence;
• hail_length.m, computes the "length" of a hailstone sequence;
• hail_next.m, computes the next number in the hailstone sequence;
• hail_sequence.m, computes the hailstone sequence for a given starting value;
• hayes_hailstone.pdf, a discussion by Brian Hayes of the hailstone sequence;
• triangular_keep1.m, a one-step stepping stone procedure for the triangular numbers.