-2382

Appears in sequences

• Triangle: q=2; m=1; t(n,k) = If[m == 0, n!, Product[Sum[(-1)^i*StirlingS2[ k - 1, i]*(m + 1)^i, {i, 0, k - 1}], {k, 1, n}]]; b(n,k,m) = If[n == 0, 1, t[n, m]/(t[k, m]*t[n - k, m])].at n=56A156593
• a(0) = -1 and a(n) = (-1)^(n+1)*(3*n^2 - n + 4)/2 for n >= 1.at n=40A173247
• E.g.f.: exp(2*(1-exp(x))).at n=9A213170
• Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of e.g.f. exp(k*(1 - exp(x))).at n=75A292861
• G.f.: Product_{n>=1} (1 - 2*x^n)^3.at n=20A322216
• Triangle read by rows. T(n, k) = BellPolynomial(n, -k).at n=47A350263