A106524 - OEIS

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A106524

Interleave A038573(n+1) and 2*A038573(n+1).

1, 2, 1, 2, 3, 6, 1, 2, 3, 6, 3, 6, 7, 14, 1, 2, 3, 6, 3, 6, 7, 14, 3, 6, 7, 14, 7, 14, 15, 30, 1, 2, 3, 6, 3, 6, 7, 14, 3, 6, 7, 14, 7, 14, 15, 30, 3, 6, 7, 14, 7, 14, 15, 30, 7, 14, 15, 30, 15, 30, 31, 62, 1, 2, 3, 6, 3, 6, 7, 14, 3, 6, 7, 14, 7, 14, 15, 30, 3, 6, 7, 14, 7, 14, 15, 30, 7, 14, 15 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,2`
	COMMENTS	`Row sums of number the number triangle (A106522 mod 2).`
	FORMULA	`a(n)=sum{k=0..n+2, binomial(n+2, k) mod 2}-(3/2-(-1)^n/2); a(n)=(sum{k=0..(n/2+1), binomial(n/2+1, k) mod 2}-1)(1+(-1)^n)/2+ (sum{k=0..(n+1)/2, binomial((n+1)/2, k) mod 2}-1)(1-(-1)^n)/2; a(n)=A001316(n+2)-A000034(n).`
	CROSSREFS	`Sequence in context: A135938 A079210 A070861 * A086582 A033639 A156565` `Adjacent sequences: A106521 A106522 A106523 * A106525 A106526 A106527`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), May 06 2005`

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Last modified February 14 08:37 EST 2012. Contains 205614 sequences.