id:A105321 - OEIS Search Results

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Convolution of binomial(1,n) and Gould's sequence A001316.

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1, 3, 4, 6, 6, 6, 8, 12, 10, 6, 8, 12, 12, 12, 16, 24, 18, 6, 8, 12, 12, 12, 16, 24, 20, 12, 16, 24, 24, 24, 32, 48, 34, 6, 8, 12, 12, 12, 16, 24, 20, 12, 16, 24, 24, 24, 32, 48, 36, 12, 16, 24, 24, 24, 32, 48, 40, 24, 32, 48, 48, 48, 64, 96, 66, 6, 8, 12, 12, 12, 16, 24, 20, 12, 16 (list; graph; listen)

	OFFSET	`0,2`
	COMMENT	`A universal function related to the spherical growth of repeated truncations of maps.`
	LINKS	`T. Pisanski and T. W. Tucker, Growth in Repeated Truncations of Maps, Atti. Sem. Mat. Fis. Univ. Modena, Vol. 49 (2001), 167-176.`
	FORMULA	`G.f. (1+x)Product{k>=0, 1+2x^(2^k)}; a(n)=sum{k=0..n, binomial(1, n-k)sum{j=0..k, binomial(k, j) mod 2}}.`
	CROSSREFS	`Sequence in context: A053991 A033957 A031131 this_sequence A160095 A135319 A004219` `Adjacent sequences: A105318 A105319 A105320 this_sequence A105322 A105323 A105324`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Barry (pbarry(AT)wit.ie), Apr 01 2005`

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.

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