A133713 -id:A133713 - cp's OEIS frontend

A133724 Column 5 of triangle in A133721.

0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 22, 13, 7, 3, 1, 226, 81, 25, 6, 1, 1371, 325, 65, 10, 1, 5901, 995, 140, 15, 1, 20097, 2541, 266, 21, 1, 57813, 5698, 462, 28, 1, 146427, 11586, 750, 36, 1, 335742, 21825, 1155, 45, 1, 710677, 38665, 1705, 55, 1

Offset: 1

N. J. A. Sloane, Dec 30 2007

nonn

A133724 := proc(n)
        A133721(n,5) ;
end proc:
seq(A133724(n),n=1..60) ; # R. J. Mathar, Nov 23 2011

A133713[l_, cl_] := Module[{g, k, s}, g = 1; For[k = 1, k <= cl + 1, k++, s = Sum[Binomial[Binomial[l, k + 1] + i - 1, i]*t^(i*k), {i, 0, Ceiling[ cl/k]}]; g = g*s]; SeriesCoefficient[g, {t, 0, cl}]];
a[m_, n_] := A133713[Ceiling[m/n], n*Ceiling[m/n] - m];
Table[a[m, 5], {m, 1, 60}] (* Jean-François Alcover, Apr 03 2020, after R. J. Mathar *)

A133733 Column 6 of triangle in A133721.

Original entry on oeis.org

0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 34, 22, 13, 7, 3, 1, 561, 226, 81, 25, 6, 1, 5087, 1371, 325, 65, 10, 1, 30569, 5901, 995, 140, 15, 1, 138103, 20097, 2541, 266, 21, 1, 507360, 57813, 5698, 462, 28, 1, 1594272, 146427, 11586, 750, 36, 1, 4433484, 335742, 21825, 1155, 45, 1

Offset: 1

N. J. A. Sloane, Dec 30 2007

nonn

A133713[l_, cl_] := Module[{g, k, s}, g = 1; For[k = 1, k <= cl + 1, k++, s = Sum[Binomial[Binomial[l, k + 1] + i - 1, i]*t^(i*k), {i, 0, Ceiling[ cl/k]}]; g = g*s]; SeriesCoefficient[g, {t, 0, cl}]];
a[m_, n_] := A133713[Ceiling[m/n], n*Ceiling[m/n] - m];
Table[a[m, 6], {m, 1, 60}] (* Jean-François Alcover, Apr 03 2020, after R. J. Mathar *)

More terms from Jean-François Alcover, Apr 03 2020

cp's OEIS Frontend

A133724 Column 5 of triangle in A133721.

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