id:A030517 - OEIS Search Results

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Number of walks of length n between two vertices on a icosahedron at distance 1.

+0
3

1, 2, 13, 52, 273, 1302, 6573, 32552, 163073, 813802, 4070573, 20345052, 101733073, 508626302, 2543170573, 12715657552, 63578483073 (list; graph; listen)

	OFFSET	`1,2`
	FORMULA	`A030517(n)=2A030517(n-1)+2A030518(n-1)+5A030517(n-2), A030518(n)=2A030517(n-1)+2A030518(n-1)+5A030518(n-2)` `a(n)=5^n/12-(-1)^n/12+(sqrt(5))^(n+1)/20+(-sqrt(5))^(n+1)/20. a(n)=4a(n-1)+10a(n-2)-20a(n-3)-25a(n-4) for n>=5. - Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 03 2004`
	CROSSREFS	`Sequence in context: A056297 A037383 A034476 this_sequence A048502 A144235 A042061` `Adjacent sequences: A030514 A030515 A030516 this_sequence A030518 A030519 A030520`
	KEYWORD	`nonn`
	AUTHOR	`Yasutoshi Kohmoto (zbi74583(AT)boat.zero.ad.jp)`

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Last modified November 23 10:40 EST 2009. Contains 167421 sequences.

AT&T Labs Research