id:A112970 - OEIS Search Results

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A generalized Stern sequence.

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1, 1, 1, 1, 2, 1, 2, 1, 3, 2, 2, 1, 4, 2, 2, 1, 5, 3, 3, 2, 5, 2, 3, 1, 6, 4, 3, 2, 6, 2, 3, 1, 7, 5, 4, 3, 8, 3, 5, 2, 8, 5, 4, 2, 8, 3, 3, 1, 9, 6, 5, 4, 9, 3, 6, 2, 9, 6, 4, 2, 9, 3, 3, 1, 10, 7, 6, 5, 11, 4, 8, 3, 12, 8, 6, 3, 13, 5, 5, 2, 13, 8, 7, 5, 12, 4, 7, 2, 12, 8, 5, 3, 11, 3, 4, 1, 12, 9, 7, 6 (list; graph; listen)

	OFFSET	`0,5`
	COMMENT	`Conjectures: a(2^n)=a(2^(n+1)+1)=A033485(n);a(2^n-1)=a(3*2^n-1)=1.`
	FORMULA	`a(n)= sum{k=0..n, mod(sum{j=0..n, (-1)^(n-k)C(j, n-j)C(k, j-k)}, 2)}`
	CROSSREFS	`Cf. A002487, A112971.` `Sequence in context: A034836 A001055 A129138 this_sequence A112971 A050379 A153024` `Adjacent sequences: A112967 A112968 A112969 this_sequence A112971 A112972 A112973`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Oct 07 2005`

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

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