id:A081184 - OEIS Search Results

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7-th binomial transform of (0,1,0,2,0,4,0,8,0,16,....).

+0
3

0, 1, 14, 149, 1428, 12989, 114730, 995737, 8548008, 72872473, 618458246, 5233409213, 44200191420, 372832446869, 3142245259426, 26468308629121, 222870793614672, 1876180605036721, 15791601170624510, 132901927952017253 (list; graph; listen)

	OFFSET	`0,3`
	FORMULA	`a(n)=14a(n-1)-47a(n-2), a(0)=0, a(1)=1. G.f. x/(1-14x+47x^3). a(n)=((7+sqrt(2))^n-(7-sqrt(2))^n/(2sqrt(2)). a(n)=Sum {k=0..n, C(n, 2k+1)2^k7^(n-2k-1) }.`
	CROSSREFS	`Binomial transform of A081183.` `Cf. A081185, A081183.` `Sequence in context: A065899 A162965 A067103 this_sequence A032343 A019521 A009614` `Adjacent sequences: A081181 A081182 A081183 this_sequence A081185 A081186 A081187`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Mar 11 2003`

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.

AT&T Labs Research