A054884 - OEIS

This site is supported by donations to The OEIS Foundation.

A054884

Closed walks of length n along the edges of an icosahedron based at a vertex.

1, 0, 5, 10, 65, 260, 1365, 6510, 32865, 162760, 815365, 4069010, 20352865, 101725260, 508665365, 2543131510, 12715852865, 63578287760, 317892415365, 1589457194010, 7947290852865, 39736429850260 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,3`
	LINKS	`Vincenzo Librandi, Table of n, a(n) for n = 0..1000`
	FORMULA	`G.f.: -1/12/(5t-1)+5/12/(t+1)-(1/2)/(5t^2-1).` `a(n) = (5^n+(-1)^n5+3(1+(-1)^n)*sqrt(5)^n)/12`
	PROG	`(MAGMA) [Floor((5^n+(-1)^n5+3(1+(-1)^n)*Sqrt(5)^n)/12): n in [0..30]]; // Vincenzo Librandi, Aug 24 2011`
	CROSSREFS	`{a(n)/5} for n>1 is A030517.` `Sequence in context: A061518 A062162 A062848 * A174937 A180851 A056316` `Adjacent sequences: A054881 A054882 A054883 * A054885 A054886 A054887`
	KEYWORD	`nonn,walk`
	AUTHOR	`Paolo Dominici (pl.dm(AT)libero.it), May 23 2000`

Content is available under The OEIS End-User License Agreement .

Last modified February 16 10:43 EST 2012. Contains 205904 sequences.