A q-form product triangle based on:q=2;a(n, q)= (Sum[(1 + (-1)^n)*(1 + Sqrt[q])^m, {m, 1, n}] + Sum[(1 + (-1)^n)*(1 - Sqrt[q])^m, {m, 1, n}])/4.

A173584

A q-form product triangle based on:q=2;a(n, q)= (Sum[(1 + (-1)^n)*(1 + Sqrt[q])^m, {m, 1, n}] + Sum[(1 + (-1)^n)*(1 - Sqrt[q])^m, {m, 1, n}])/4.

Terms

    a(0) =1a(1) =1a(2) =1a(3) =1a(4) =7a(5) =1a(6) =1a(7) =42a(8) =42a(9) =1a(10) =1a(11) =246a(12) =1476a(13) =246a(14) =1a(15) =1a(16) =1435a(17) =50430a(18) =50430a(19) =1435a(20) =1a(21) =1a(22) =8365a(23) =1714825a(24) =10043975a(25) =1714825a(26) =8365a(27) =1a(28) =1a(29) =48756

External references