A016318 - OEIS

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A016318

Expansion of 1/((1-2x)(1-8x)(1-11x)).

1, 21, 315, 4145, 51051, 605241, 7007155, 79874865, 900993051, 10089880361, 112420339395, 1248076978785, 13820472734251, 152758207825881, 1686204348094035, 18595160325141905, 204922063545486651 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,2`
	LINKS	`Vincenzo Librandi, Table of n, a(n) for n = 0..900` `Index to sequences with linear recurrences with constant coefficients, signature (21,-126,176).`
	FORMULA	`Contribution by Vincenzo Librandi, Oct 09 2011: (Start)` `a(n) = (11^(n+2)+2^(n+1)-968^n)/27.` `a(n) = 19a(n-1) - 88a(n-2) + 2^n.` `a(n) = 21a(n-1) - 126a(n-2) + 176a(n-3), n>=3. (End)`
	PROG	`(MAGMA) [(11^(n+2)+2^(n+1)-96*8^n)/27 : n in [0..20]]; // Vincenzo Librandi, Oct 09 2011`
	CROSSREFS	`Sequence in context: A016321 A019041 A021214 * A017954 A055434 A016315` `Adjacent sequences: A016315 A016316 A016317 * A016319 A016320 A016321`
	KEYWORD	`nonn`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com).`

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Last modified February 14 18:47 EST 2012. Contains 205663 sequences.