id:A087464 - OEIS Search Results

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Generalized multiplicative Jacobsthal sequence.

+0
3

0, 0, 2, 0, 6, 10, 0, 42, 86, 0, 342, 682, 0, 2730, 5462, 0, 21846, 43690, 0, 174762, 349526, 0, 1398102, 2796202, 0, 11184810, 22369622, 0, 89478486, 178956970, 0, 715827882, 1431655766, 0, 5726623062, 11453246122, 0, 45812984490 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`2^n=A087462(n)+A087463(n)+A087464(n) provides a decomposition of Pascal's triangle.`
	FORMULA	`a(n)=sum{k=0..n, if (mod(nk, 3)=2, 1, 0)C(n, k)}; a(n)=(2/9)(2^n-30^n+2(-1)^n)(1-cos(2pin/3)).`
	CROSSREFS	`Cf. A001045.` `Sequence in context: A058498 A003076 A011123 this_sequence A078048 A110667 A129877` `Adjacent sequences: A087461 A087462 A087463 this_sequence A087465 A087466 A087467`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Sep 08 2003`

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Last modified December 7 08:40 EST 2009. Contains 170430 sequences.

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