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A300946 Rectangular array A(n, k) = (-1)^k*hypergeom([-k, k + n/2 - 1/2], [1], 4) with row n >= 0 and k >= 0, read by ascending antidiagonals. 5
1, 1, 1, 1, 3, 19, 1, 5, 33, 239, 1, 7, 51, 387, 3011, 1, 9, 73, 587, 4737, 38435, 1, 11, 99, 847, 7123, 59523, 496365, 1, 13, 129, 1175, 10321, 89055, 761121, 6470385, 1, 15, 163, 1579, 14499, 129367, 1135005, 9854211, 84975315 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,5

LINKS

Table of n, a(n) for n=0..44.

EXAMPLE

Array starts:

[0] 1,  1,  19,  239,  3011,  38435,  496365,  6470385, ... [A299864]

[1] 1,  3,  33,  387,  4737,  59523,  761121,  9854211, ... [A299507]

[2] 1,  5,  51,  587,  7123,  89055, 1135005, 14660805, ... [A245926]

[3] 1,  7,  73,  847, 10321, 129367, 1651609, 21360031, ... [A084768]

[4] 1,  9,  99, 1175, 14499, 183195, 2351805, 30539241, ... [A245927]

[5] 1, 11, 129, 1579, 19841, 253707, 3284737, 42924203, ...

[6] 1, 13, 163, 2067, 26547, 344535, 4508877, 59402397, ...

MATHEMATICA

Arow[n_, len_] := Table[(-1)^k Hypergeometric2F1[-k, k + n/2 - 1/2, 1, 4], {k, 0, len}]; Table[Print[Arow[n, 7]], {n, 0, 6}];

CROSSREFS

Cf. A299864, A299507, A245926, A084768, A245927.

Cf. A300945.

Sequence in context: A101293 A227882 A189799 * A078096 A139429 A293699

Adjacent sequences:  A300943 A300944 A300945 * A300947 A300948 A300949

KEYWORD

nonn,tabl

AUTHOR

Peter Luschny, Mar 16 2018

STATUS

approved

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Last modified September 20 05:51 EDT 2019. Contains 327212 sequences. (Running on oeis4.)