id:A102395 - OEIS Search Results

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A mod 2 related Jacobsthal sequence.

+0
2

1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 6, 0, 2, 2, 2, 2, 2, 2, 6, 2, 2, 2, 6, 2, 6, 6, 10, 0, 2, 2, 2, 2, 2, 2, 6, 2, 2, 2, 6, 2, 6, 6, 10, 2, 2, 2, 6, 2, 6, 6, 10, 2, 6, 6, 10, 6, 10, 10, 22, 0, 2, 2, 2, 2, 2, 2, 6, 2, 2, 2, 6, 2, 6, 6, 10, 2, 2, 2, 6, 2, 6, 6, 10, 2, 6, 6, 10, 6, 10, 10, 22, 2, 2, 2 (list; graph; listen)

	OFFSET	`0,4`
	COMMENT	`a(2^n-1)=A078008(n). Conjecture : all elements a(n) are in A078008. A001316(n)=A102395(n)+2*A102396(n).` `The conjecture is true since a(n)=A078008(A000120(n)). - Paul Barry (pbarry(AT)wit.ie), Jan 07 2005`
	FORMULA	`a(n)=sum{k=0..n, if(mod(n+k, 3)=0, C(n, k) mod 2, 0)}.`
	CROSSREFS	`Sequence in context: A112274 A082054 A044943 this_sequence A127504 A047917 A000360` `Adjacent sequences: A102392 A102393 A102394 this_sequence A102396 A102397 A102398`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Jan 06 2005`

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.

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