id:A099855 - OEIS Search Results

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n*2^n - 2^(n/2)*sin(pi*n/4).

+0
3

0, 1, 6, 22, 64, 164, 392, 904, 2048, 4592, 10208, 22496, 49152, 106560, 229504, 491648, 1048576, 2227968, 4718080, 9960960, 20971520, 44041216, 92276736, 192940032, 402653184, 838856704, 1744822272, 3623870464, 7516192768 (list; graph; listen)

	OFFSET	`0,3`
	FORMULA	`G.f.: x/((1-2x+2x^2)(1-4x+4x^2)); a(n)=sum{k=0..n, 2^(k/2)sin(pik/4)2^(n-k)(n-k+1)}; a(n)=6a(n-1)-14a(n-2)+16a(n-3)-8a(n-4); a(n)=2*A001787(n)-A009545(n).` `Related to binomial transform of A002265. Sequence is identical to its fourth differences (cf. A139756, A137221). See also A097064, A135035, A038504, A135356. - Paul Curtz (bpcrtz(AT)free.fr), Jun 18 2008`
	CROSSREFS	`Binomial transform of A047538.` `Adjacent sequences: A099852 A099853 A099854 this_sequence A099856 A099857 A099858` `Sequence in context: A055797 A001925 A002663 this_sequence A003469 A027992 A032195`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Oct 28 2004`

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Last modified October 13 09:05 EDT 2008. Contains 145008 sequences.

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