A087463 - OEIS

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A087463

Generalized multiplicative Jacobsthal sequence.

0, 1, 1, 0, 5, 11, 0, 43, 85, 0, 341, 683, 0, 2731, 5461, 0, 21845, 43691, 0, 174763, 349525, 0, 1398101, 2796203, 0, 11184811, 22369621, 0, 89478485, 178956971, 0, 715827883, 1431655765, 0, 5726623061, 11453246123, 0, 45812984491 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,5`
	COMMENTS	`Set A001045(3n)=0 in A001045. 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)=1, 1, 0)C(n, k)}; a(n)=(2/9)(1-cos(2pi*n/3))(2^n-(-1)^n).`
	CROSSREFS	`Sequence in context: A048360 A067958 A201026 * A160366 A160923 A201457` `Adjacent sequences: A087460 A087461 A087462 * A087464 A087465 A087466`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Sep 08 2003`

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Last modified February 16 01:56 EST 2012. Contains 205860 sequences.