Triangle T(n,k,2) read by rows (generalized q-Stirling numbers of second kind): T(n, k, q_) = (1/(q - 1)^k)*Sum[(-1)^(k - j)*q*Binomial[k + n, k -j] - Binomial[j + n, j, q - 1], {j, 0, k}], with q=2, where Binomial[,] is the Gaussian q-binomial coefficient as in A022166.
A156823
Triangle T(n,k,2) read by rows (generalized q-Stirling numbers of second kind): T(n, k, q_) = (1/(q - 1)^k)*Sum[(-1)^(k - j)*q*Binomial[k + n, k -j] - Binomial[j + n, j, q - 1], {j, 0, k}], with q=2, where Binomial[,] is the Gaussian q-binomial coefficient as in A022166.
Terms
- a(0) =1a(1) =1a(2) =1a(3) =1a(4) =4a(5) =13a(6) =1a(7) =11a(8) =90a(9) =670a(10) =1a(11) =26a(12) =480a(13) =7870a(14) =122861a(15) =1a(16) =57a(17) =2247a(18) =77527a(19) =2526198a(20) =80189094a(21) =1a(22) =120a(23) =9807a(24) =695368a(25) =46334382a(26) =2999255160a(27) =191467330714a(28) =1a(29) =247
External references
- oeis: A156823