A101164 - OEIS

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A101164

Triangle read by rows: Delannoy numbers minus binomial coefficients.

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; refs; listen; history; internal format)

	OFFSET	`0,8`
	COMMENTS	`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	`Sequence in context: A059692 A004247 A014473 * A062275 A138270 A179011` `Adjacent sequences: A101161 A101162 A101163 * A101165 A101166 A101167`
	KEYWORD	`nonn,tabl`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Dec 03 2004`

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Last modified February 15 16:39 EST 2012. Contains 205823 sequences.