id:A087462 - OEIS Search Results

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Generalized mod 3 multiplicative Jacobsthal sequence.

+0
3

1, 1, 1, 8, 5, 11, 64, 43, 85, 512, 341, 683, 4096, 2731, 5461, 32768, 21845, 43691, 262144, 174763, 349525, 2097152, 1398101, 2796203, 16777216, 11184811, 22369621, 134217728, 89478485, 178956971, 1073741824, 715827883, 1431655765 (list; graph; listen)

	OFFSET	`0,4`
	COMMENT	`2^n=A087462(n)+A087463(n)+A087464(n) provides a decomposition of Pascal's triangle. Multiplicative analogue of A078008.`
	FORMULA	`a(n)=sum{k=0..n, if (mod(nk, 3)=0, 1, 0)C(n, k)}; a(n)=2^n-2/3(1-cos(2pin/3))(A001045(n)+2A001045(n-1)+0^n).`
	CROSSREFS	`Cf. A001045.` `Sequence in context: A132717 A070473 A154210 this_sequence A070484 A096480 A038283` `Adjacent sequences: A087459 A087460 A087461 this_sequence A087463 A087464 A087465`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Sep 08 2003`

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.

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