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 A101164 Triangle read by rows: Delannoy numbers minus binomial coefficients. 8
 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; text; 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 Reinhard Zumkeller, Rows n = 0..100 of table, flattened Eric Weisstein's World of Mathematics, Delannoy Number Eric Weisstein's World of Mathematics, Binomial Coefficient FORMULA T(n, k) = TD(n, k) - Binomial(n, k), 0<=k<=n, where Binomial=A007318 and TD defines the triangle of A008288. PROG (Haskell) a101164 n k = a101164_tabl !! n !! k a101164_row n = a101164_tabl !! n a101164_tabl = zipWith (zipWith (-)) a008288_tabl a007318_tabl -- Reinhard Zumkeller, Jul 30 2013 CROSSREFS Cf. A225413. Sequence in context: A265080 A228275 A228250 * A229079 A254040 A062275 Adjacent sequences:  A101161 A101162 A101163 * A101165 A101166 A101167 KEYWORD nonn,tabl AUTHOR Reinhard Zumkeller, Dec 03 2004 STATUS approved

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Last modified October 19 14:50 EDT 2019. Contains 328223 sequences. (Running on oeis4.)