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 A337617 T(n, k) = (n + 1)*2^(n + k)*hypergeom([-n, k - n + 1], [2], 1/2), triangle read by rows for 0 <= k <= n. 1
 1, 4, 6, 18, 24, 28, 88, 112, 128, 120, 450, 560, 640, 640, 496, 2364, 2904, 3328, 3456, 3072, 2016, 12642, 15400, 17696, 18816, 17920, 14336, 8128, 68464, 82912, 95488, 103168, 102400, 90112, 65536, 32640, 374274, 451296, 520704, 569088, 580608, 540672, 442368, 294912, 130816 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS EXAMPLE Triangle starts: [0]                                1 [1]                              4, 6 [2]                           18, 24, 28 [3]                       88, 112, 128, 120 [4]                    450, 560, 640, 640, 496 [5]               2364, 2904, 3328, 3456, 3072, 2016 [6]         12642, 15400, 17696, 18816, 17920, 14336, 8128 [7]    68464, 82912, 95488, 103168, 102400, 90112, 65536, 32640 MAPLE T := (n, k) -> simplify((n + 1)*2^(n + k)*hypergeom([-n, k - n + 1], [2], 1/2)): seq(seq(T(n, k), k=0..n), n=0..8); CROSSREFS T(n, n) = A171476(n) = A006516(n+1). T(n, 0) = A050146(n+1). Cf. A337992 (row sums). Sequence in context: A125133 A109310 A219190 * A120391 A064217 A026623 Adjacent sequences:  A337614 A337615 A337616 * A337618 A337619 A337620 KEYWORD nonn,tabl AUTHOR Peter Luschny, Oct 19 2020 STATUS approved

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Last modified May 16 14:38 EDT 2022. Contains 353704 sequences. (Running on oeis4.)