id:A088917 - OEIS Search Results

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Central Delannoy numbers (mod 3).

+0
2

1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 (list; graph; listen)

	OFFSET	`0,1`
	COMMENT	`Also Apery numbers (mod 3). More generally also sum(k=0,n,binomial(n,k)^x*binomial(n+k,k)^y) (mod 3) for any x>=1 in N and any odd y>=1.`
	LINKS	`Eric Weisstein's World of Mathematics, Cantor Fractal`
	FORMULA	`a(A005823(n))=1; a(A081606(n))=0` `a(n)=A001850(n)-3*floor(A001850(n)/3)`
	PROGRAM	`(PARI) a(n)=sum(k=0, n, binomial(n, k)*binomial(n+k, k))%3`
	CROSSREFS	`Cf. A005823, A005258, A081606, A001850.` `Sequence in context: A102242 A005369 A108340 this_sequence A014933 A011643 A015941` `Adjacent sequences: A088914 A088915 A088916 this_sequence A088918 A088919 A088920`
	KEYWORD	`nonn`
	AUTHOR	`Benoit Cloitre (benoit7848c(AT)orange.fr), Nov 30 2003`

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Last modified July 23 17:35 EDT 2008. Contains 142285 sequences.

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