A016316 - OEIS

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A016316

Expansion of 1/((1-2x)(1-8x)(1-9x)).

1, 19, 255, 2975, 32231, 333759, 3353335, 32976175, 319155111, 3051352799, 28893830615, 271497720975, 2535105456391, 23548956856639, 217804673719095, 2007154559579375, 18439691005140071, 168959618797797279 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,2`
	LINKS	`Index to sequences with linear recurrences with constant coefficients, signature (19,-106,144)`
	FORMULA	`a(n) = 2^(n+1)/21 -4*8^(n+1)/3 +9^(n+2)/7. a(n) = A016133(n+1)-A016131(n+1). [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 05 2009, corrected by R. J. Mathar, Mar 14 2011`
	PROG	`(Other) sage: [(9^n - 2^n)/7-(8^n - 2^n)/6 for n in xrange(2, 20)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 05 2009]`
	CROSSREFS	`Sequence in context: A009728 A027532 A021394 * A021154 A016313 A017917` `Adjacent sequences: A016313 A016314 A016315 * A016317 A016318 A016319`
	KEYWORD	`nonn`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com).`

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Last modified February 16 04:47 EST 2012. Contains 205860 sequences.