(Translated by https://www.hiragana.jp/)
A026936 - OEIS
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A026936
a(n) = Sum_{k=0..n-3} T(n,k) * T(n,k+3), with T given by A008288.
1
1, 14, 131, 1028, 7333, 49362, 319943, 2020552, 12526153, 76603094, 463676491, 2784550604, 16619355501, 98706690714, 583943891087, 3443573355152, 20254044891793, 118871039217822, 696401860980499, 4073713439171732, 23799679604123189, 138895001298962786, 809854583626750039
OFFSET
3,2
LINKS
MATHEMATICA
A008288[n_, k_]:= Binomial[n, k]*Hypergeometric2F1[-k, k-n, -n, -1];
A026936[n_]:= Sum[A008288[n, k]*A008288[n, k+3], {k, 0, n-3}];
Table[A026936[n], {n, 3, 40}] (* G. C. Greubel, May 25 2021 *)
PROG
(Sage)
@CachedFunction
def A008288(n, k): return sum(binomial(n-j, j)*binomial(n-2*j, k-j) for j in (0..k))
def A026936(n): return sum(A008288(n, k)*A008288(n, k+3) for k in (0..n-3))
[A026936(n) for n in (3..40)] # G. C. Greubel, May 25 2021
CROSSREFS
Cf. A008288.
Sequence in context: A006565 A206207 A358168 * A021114 A328785 A375894
KEYWORD
nonn
EXTENSIONS
More terms from Sean A. Irvine, Oct 17 2019
STATUS
approved