id:A063268 - OEIS Search Results

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Let f be a function on rationals p/q (p,q coprime) defined by f(p/q) = abs(p-q)/g(p), where g(p) is the next odd number (starting with p) that we get after iteration of h(n) = n/2 when n is even, 5n-1 when n is odd. Start with f(n/1) and iterate f until it reaches again an integer, which is a(n). If no integer is reached, then a(n)=0.

+0
3

0, 1, 5, 3, 1, 1, 19, 7, 3, 7, 3, 19, 12, 6, 41, 15, 5, 13, 7, 35, 15, 5, 21, 9, 13, 31, 41, 4, 55, 1, 85, 31, 9, 25, 2, 17, 4, 1, 8, 9, 7, 15, 5, 75, 5, 33, 43, 7, 10, 7, 15, 15, 6, 19, 15, 4, 29, 17, 3, 65, 31, 23, 173, 63, 17, 49, 4, 43, 23, 3, 55, 17, 9, 7, 25, 19, 8, 71, 47, 5, 3, 9 (list; graph; listen)

	OFFSET	`1,3`
	EXAMPLE	`We get 6/1 -> 5/3 -> 2/3 -> 1/1 so a(6)=1. also 333/1 -> 332/13 -> 319/83 -> 236/797 -> 561/59 -> 502/701 -> 199/251 -> 52/497 -> 445/13 -> 432/139 -> 293/27 -> 266/183 -> 83/133 -> 50/207 -> 157/25 -> 132/49 -> 83/33 -> 50/207 so a(333)=0 (n=333 is the smallest n>1 with a(n)=0).`
	CROSSREFS	`Cf. A062366, A063256, A063257.` `Sequence in context: A096937 A097527 A132400 this_sequence A021657 A011332 A092235` `Adjacent sequences: A063265 A063266 A063267 this_sequence A063269 A063270 A063271`
	KEYWORD	`nonn`
	AUTHOR	`Floor van Lamoen (fvlamoen(AT)hotmail.com), Jul 12 2001`

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Last modified July 4 18:25 EDT 2008. Contains 140886 sequences.

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