Generalized q-Stirling 2nd numbers (see A022166):q=3;m=2; t1(n, k, q_) = (1/(q - 1)^k)*Sum[(-1)^(k - j)*Binomial[k + n, k -j]*q-Binomial[j + n, j, q - 1], {j, 0, k}].
A156824
Generalized q-Stirling 2nd numbers (see A022166):q=3;m=2; t1(n, k, q_) = (1/(q - 1)^k)*Sum[(-1)^(k - j)*Binomial[k + n, k -j]*q-Binomial[j + n, j, q - 1], {j, 0, k}].
Terms
- a(0) =1a(1) =1a(2) =1a(3) =1a(4) =5a(5) =21a(6) =1a(7) =18a(8) =255a(9) =3400a(10) =1a(11) =58a(12) =2575a(13) =106400a(14) =4300541a(15) =1a(16) =179a(17) =24234a(18) =3038714a(19) =371984935a(20) =45182779173a(21) =1a(22) =543a(23) =221886a(24) =83805218a(25) =30877084287a(28) =1a(29) =1636a(30) =2010034a(31) =2280772380
External references
- oeis: A156824