Generalized q-Stirling 2nd numbers (see A022166):q=4;m=3; 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}].

A156825

Generalized q-Stirling 2nd numbers (see A022166):q=4;m=3; 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) =6a(5) =31a(6) =1a(7) =27a(8) =598a(9) =12714a(10) =1a(11) =112a(12) =10118a(13) =872744a(14) =74451015a(15) =1a(16) =453a(17) =164591a(18) =56998275a(19) =19510862790a(21) =1a(22) =1818a(23) =2646161a(24) =3669008040a(28) =1a(29) =7279a(30) =42396780

External references