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A300945 Rectangular array A(n, k) = hypergeom([-k, k + n/2 - 1], [1], -4) with row n >= 0 and k >= 0, read by ascending antidiagonals. 5
1, 1, 1, 1, 3, 25, 1, 5, 43, 425, 1, 7, 65, 661, 7025, 1, 9, 91, 965, 10515, 116625, 1, 11, 121, 1345, 15105, 171097, 1951625, 1, 13, 155, 1809, 20995, 243525, 2828101, 32903225, 1, 15, 193, 2365, 28401, 337877, 4001345, 47284251, 558265825 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,5

LINKS

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

EXAMPLE

[0] 1,  1,  25,  425,  7025, 116625,  1951625,  32903225, ... [A299845]

[1] 1,  3,  43,  661, 10515, 171097,  2828101,  47284251, ... [A299506]

[2] 1,  5,  65,  965, 15105, 243525,  4001345,  66622085, ...

[3] 1,  7,  91, 1345, 20995, 337877,  5544709,  92234527, ... [A243946]

[4] 1,  9, 121, 1809, 28401, 458649,  7544041, 125700129, ... [A084769]

[5] 1, 11, 155, 2365, 37555, 610897, 10098997, 168894355, ... [A243947]

[6] 1, 13, 193, 3021, 48705, 800269, 13324417, 224028877, ...

MATHEMATICA

Arow[n_, len_] := Table[Hypergeometric2F1[-k, k + n/2 - 1, 1, -4], {k, 0, len}];

Table[Print[Arow[n, 7]], {n, 0, 6}];

CROSSREFS

Cf. A299845, A299506, A243946, A084769, A243947.

Cf. A300946.

Sequence in context: A297481 A297533 A080202 * A234319 A224873 A085836

Adjacent sequences:  A300942 A300943 A300944 * A300946 A300947 A300948

KEYWORD

nonn,tabl

AUTHOR

Peter Luschny, Mar 16 2018

STATUS

approved

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Last modified September 18 18:20 EDT 2019. Contains 327178 sequences. (Running on oeis4.)