A084171 - OEIS

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A084171

Binomial transform of generalized Jacobsthal numbers A084170.

1, 3, 11, 37, 119, 373, 1151, 3517, 10679, 32293, 97391, 293197, 881639, 2649013, 7955231, 23882077, 71678999, 215102533, 645438671, 1936578157, 5810258759, 17431824853, 52297571711, 156896909437, 470699116919, 1412114127973 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,2`
	LINKS	`Vincenzo Librandi, Table of n, a(n) for n = 0..1000`
	FORMULA	`a(n) = 53^n/3+0^n/3-2^n.` `G.f.: (1-2x+2x^2)/((1-2x)(1-3x)).` `E.g.f.: 5exp(3x)/3-exp(2*x)+exp(0)/3.` `a(n) = A090888(n-1, 5), for n > 0. - Ross La Haye (rlahaye(AT)new.rr.com), Sep 21 2004`
	PROG	`(MAGMA) [5*3^n/3+0^n/3-2^n: n in [0..35]]; // Vincenzo Librandi, Jul 05 2011`
	CROSSREFS	`Sequence in context: A040017 A007615 A065540 * A192875 A118044 A027062` `Adjacent sequences: A084168 A084169 A084170 * A084172 A084173 A084174`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), May 18 2003`

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Last modified February 16 16:00 EST 2012. Contains 205938 sequences.