id:A097064 - OEIS Search Results

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Expansion of (1-4x+6x^2)/(1-2x)^2.

+0
4

1, 0, 2, 8, 24, 64, 160, 384, 896, 2048, 4608, 10240, 22528, 49152, 106496, 229376, 491520, 1048576, 2228224, 4718592, 9961472, 20971520, 44040192, 92274688, 192937984, 402653184, 838860800, 1744830464, 3623878656, 7516192768 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`a(n+1)/2=A001787(n). Binomial transform of A097062.`
	FORMULA	`a(n)=(n-1)2^(n-1)+3*0^n/2; a(n)=4a(n-1)-4a(n-2), n>2; a(n)=sum{k=0..n, binomial(n, k)((2k-1)/2+3(-1)^k/2) }.`
	CROSSREFS	`Essentially the same as A036289.` `Sequence in context: A131135 A134401 A036289 this_sequence A018045 A050242 A045697` `Adjacent sequences: A097061 A097062 A097063 this_sequence A097065 A097066 A097067`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Jul 22 2004`

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Last modified November 24 23:16 EST 2009. Contains 167481 sequences.

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