Fade sequence (Posted on 2005-10-26)

	Submitted by Larry
Rating: 3.5000 (4 votes)
Solution:	(Hide)
11076, 26013, 61094 a(n)=2*a(n-1)+1*a(n-2)+0*a(n-3)+(-1)*a(n-4) In Fibonacci, each term is a function of the previous 2 terms. The misspelling in the hint, with the letter "c" appearing 4 times was meant to suggest that each term is a function of the previous 4 terms, of the form: a(n)=W*a(n-1)+X*a(n-2)+Y*a(n-3)+Z*a(n-4) Once that assumption is made, the reasoning is straightforward. One can assume that the second term "2" is a function of 0,0,0,1 and therefore "W" must be 2. Then the 3rd term "5" must be a function of 0,0,1,2, and so "X" must be 1 since 5=2*2 + 1*1 And the 4th term "12" must be a function of 0,1,2,5 and so "Y" must be zero since 12=2*5 + 1*2 + 0*1 Finally the 5th term "28" must be a function of 1,2,5,12 and so "Z" must be (-1) since 28=2*12 + 1*5 + 0*2 + (-1)*1

	Subject	Author	Date
	Puzzle Thoughts	K Sengupta	2023-02-22 12:22:42
	re: a solution	Larry	2005-10-27 00:51:36
	re(2): a solution	SilverKnight	2005-10-26 14:24:30
	re: a solution	Charlie	2005-10-26 14:23:00
	a solution	SilverKnight	2005-10-26 13:26:56