id:A094556 - OEIS Search Results

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Number of walks of length n between opposite vertices on a triangular prism.

+0
3

0, 1, 0, 7, 8, 51, 100, 407, 1008, 3451, 9500, 30207, 87208, 268451, 791700, 2402407, 7152608, 21567051, 64482700, 193885007, 580781208, 1744091251, 5228778500, 15693326007, 47065997008, 141225953051, 423621935100, 1270977653407 (list; graph; listen)

	OFFSET	`0,4`
	FORMULA	`G.f.: x(1-2x+2x^2)/((1-x)(1+2x)(1-3x)); a(n)=3^n/6-(-2)^n/3-1/6+0^n/3; a(n)=2a(n-1)+5a(n-2)-6a(n-3).`
	CROSSREFS	`Cf. A094554, A094555.` `Sequence in context: A036566 A116554 A038274 this_sequence A041023 A041108 A137145` `Adjacent sequences: A094553 A094554 A094555 this_sequence A094557 A094558 A094559`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), May 11 2004`

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.

AT&T Labs Research