id:A166752 - OEIS Search Results

Search: id:A166752

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Interleave A007583 and A000012.

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1, 1, 3, 1, 11, 1, 43, 1, 171, 1, 683, 1, 2731, 1, 10923, 1, 43691, 1, 174763, 1, 699051, 1, 2796203, 1, 11184811, 1, 44739243, 1, 178956971, 1, 715827883, 1, 2863311531, 1, 11453246123, 1, 45812984491, 1, 183251937963, 1, 733007751851, 1 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`Partial sums are A166753.`
	FORMULA	`G.f.: (1+x-2x^2-4x^3)/(1-5x^2+4x^4)=(1+x)/(1-5x^2+4x^4)-2x^2(1+2x)/(1-5x^2+4x^4).` `a(n)=(44^floor(n/2)-1)/3-2floor(2^n/3)=44^floor(n/2)/3-22^n/3-(-1)^n/3+2/3;` `a(n)=A002450(floor(n/2)+1)-2*A000975(n-1).`
	CROSSREFS	`Sequence in context: A048953 A119632 A134761 this_sequence A120291 A099001 A119947` `Adjacent sequences: A166749 A166750 A166751 this_sequence A166753 A166754 A166755`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Oct 21 2009`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

AT&T Labs Research