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 A320904 T(n, k) = binomial(2*n + 1 - k, k)*hypergeom([1, 1, -k], [1, 2*(n - k + 1)], -1), triangle read by rows, T(n, k) for n >= 0 and 0 <= k <= n. 0
 1, 1, 3, 1, 5, 7, 1, 7, 16, 15, 1, 9, 29, 42, 31, 1, 11, 46, 93, 99, 63, 1, 13, 67, 176, 256, 219, 127, 1, 15, 92, 299, 562, 638, 466, 255, 1, 17, 121, 470, 1093, 1586, 1486, 968, 511, 1, 19, 154, 697, 1941, 3473, 4096, 3302, 1981, 1023 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS EXAMPLE Triangle starts: [0] 1 [1] 1, 3 [2] 1, 5, 7 [3] 1, 7, 16, 15 [4] 1, 9, 29, 42, 31 [5] 1, 11, 46, 93, 99, 63 [6] 1, 13, 67, 176, 256, 219, 127 [7] 1, 15, 92, 299, 562, 638, 466, 255 [8] 1, 17, 121, 470, 1093, 1586, 1486, 968, 511 MAPLE T := (n, k) -> binomial(2*n + 1 - k, k)*hypergeom([1, 1, -k], [1, 2*(n-k+1)], -1): for n from 0 to 11 do seq(simplify(T(n, k)), k = 0..n) od; CROSSREFS Row sums are A105693(n-1). Cf. A097750. Sequence in context: A221881 A201811 A199898 * A193844 A201552 A216182 Adjacent sequences: A320901 A320902 A320903 * A320905 A320906 A320907 KEYWORD nonn,tabl AUTHOR Peter Luschny, Oct 28 2018 STATUS approved

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Last modified March 24 18:08 EDT 2023. Contains 361510 sequences. (Running on oeis4.)