id:A119969 - OEIS Search Results

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A119969

Sum{k>=0, C(2^k-1,n-2*(2^k-1))}.

+0
2

1, 0, 1, 1, 0, 0, 1, 3, 3, 1, 0, 0, 0, 0, 1, 7, 21, 35, 35, 21, 7, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 15, 105, 455, 1365, 3003, 5005, 6435, 6435, 5005, 3003, 1365, 455, 105, 15, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 31, 465, 4495, 31465, 169911, 736281, 2629575 (list; graph; listen)

	OFFSET	`0,8`
	FORMULA	`G.f.: sum{k>=0, (x^2(1+x))^(2k-1)}; a(n)=sum{k=0..floor(n/2), C(k,n-2k)mod(C(k),2)}; a(n)=sum{k=0..floor(n/2), C(k,n-2k)*A036987(k)}.`
	CROSSREFS	`Sequence in context: A031438 A096964 A123254 this_sequence A051343 A131193 A130632` `Adjacent sequences: A119966 A119967 A119968 this_sequence A119970 A119971 A119972`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Jun 01 2006`

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Last modified November 25 08:46 EST 2009. Contains 167481 sequences.

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