id:A100737 - OEIS Search Results

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Inverse modulo 2 binomial transform of 4^n.

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1, 3, 15, 45, 255, 765, 3825, 11475, 65535, 196605, 983025, 2949075, 16711425, 50134275, 250671375, 752014125, 4294967295, 12884901885, 64424509425, 193273528275, 1095216660225, 3285649980675, 16428249903375, 49284749710125 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`4^n may be retrieved as sum{k=0..n, mod(binomial(n,k),2)A100737(k)}.`
	FORMULA	`a(n)=sum{k=0..n, (-1)^A010060(n-k)*mod(binomial(n, k), 2)4^k}.`
	CROSSREFS	`Sequence in context: A074355 A005560 A100747 this_sequence A110464 A088108 A163383` `Adjacent sequences: A100734 A100735 A100736 this_sequence A100738 A100739 A100740`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Dec 06 2004`

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Last modified November 24 14:25 EST 2009. Contains 167438 sequences.

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