id:A101164 - OEIS Search Results

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Triangle read by rows: Delannoy numbers minus binomial coefficients.

+0
7

0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 3, 7, 3, 0, 0, 4, 15, 15, 4, 0, 0, 5, 26, 43, 26, 5, 0, 0, 6, 40, 94, 94, 40, 6, 0, 0, 7, 57, 175, 251, 175, 57, 7, 0, 0, 8, 77, 293, 555, 555, 293, 77, 8, 0, 0, 9, 100, 455, 1079, 1431, 1079, 455, 100, 9, 0, 0, 10, 126, 668, 1911, 3191, 3191, 1911 (list; table; graph; listen)

	OFFSET	`0,8`
	COMMENT	`T(n,2) = A005449(n-2) for n>1;` `T(n,3) = A101165(n-3) for n>2;` `T(n,4) = A101166(n-4) for n>3;` `sum of n-th row = A094706(n).`
	LINKS	`Eric Weisstein's World of Mathematics, Delannoy Number` `Eric Weisstein's World of Mathematics, Binomial Coefficient` `Index entries for triangles and arrays related to Pascal's triangle`
	FORMULA	`T(n, k) = TD(n, k) - Binomial(n, k), 0<=k<=n, where Binomial=A007318 and TD defines the triangle of A008288.`
	CROSSREFS	`Adjacent sequences: A101161 A101162 A101163 this_sequence A101165 A101166 A101167` `Sequence in context: A059692 A004247 A014473 this_sequence A062275 A138270 A134315`
	KEYWORD	`nonn,tabl`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Dec 03 2004`

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Last modified May 17 13:02 EDT 2008. Contains 139908 sequences.

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