Original entry on oeis.org
1, 6, 31, 133, 587, 2531, 10950, 47185, 203704, 879711, 3804530, 16464710, 71312805, 309083291, 1340546867, 5817555402, 25258769216, 109711224970, 476675868834, 2071569641859, 9004430215111, 39144480326143, 170184867215647, 739924236443359, 3217001700174226
Offset: 0
-
{a(n)=local(M);M=matrix(n+2,n+2,r,c,if(r
Original entry on oeis.org
1, 14, 117, 813, 4871, 27743, 151208, 804065, 4185683, 21472005, 108766010, 545507633, 2712801330, 13394412999, 65722444172, 320721839860, 1557502222385, 7530671086667, 36267851679585, 174038009185816, 832392015517829, 3969017685816667, 18871416851149078
Offset: 0
-
{a(n)=local(M);M=matrix(n+3,n+3,r,c,if(r
Original entry on oeis.org
1, 3, 12, 60, 315, 1869, 11472, 74797, 502908, 3505031, 24973089, 182208083, 1352620790, 10207771213, 78082422354, 604699597868, 4733082767467, 37406134058641, 298165102770381, 2395219866441531, 19376637845028027, 157757577529194488, 1291926016200778464
Offset: 1
-
{a(n)=local(M);M=matrix(n+1,n+1,r,c,if(rPetros Hadjicostas, May 31 2020
A128562
Triangle, read by rows, where T(n,k) is the coefficient of q^((n+1)*k) in the q-binomial coefficient [2*n+1, n] for n >= k >= 0.
Original entry on oeis.org
1, 1, 1, 1, 2, 1, 1, 4, 4, 1, 1, 6, 12, 6, 1, 1, 10, 29, 29, 10, 1, 1, 14, 61, 94, 61, 14, 1, 1, 21, 120, 263, 263, 120, 21, 1, 1, 29, 222, 645, 910, 645, 222, 29, 1, 1, 41, 392, 1468, 2724, 2724, 1468, 392, 41, 1, 1, 55, 669, 3113, 7352, 9686, 7352, 3113, 669, 55, 1
Offset: 0
Triangle T(n,k) (with rows n >= 0 and columns k = 0..n) begins:
1;
1, 1;
1, 2, 1;
1, 4, 4, 1;
1, 6, 12, 6, 1;
1, 10, 29, 29, 10, 1;
1, 14, 61, 94, 61, 14, 1;
1, 21, 120, 263, 263, 120, 21, 1;
1, 29, 222, 645, 910, 645, 222, 29, 1;
1, 41, 392, 1468, 2724, 2724, 1468, 392, 41, 1;
1, 55, 669, 3113, 7352, 9686, 7352, 3113, 669, 55, 1;
...
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