A393220 - OEIS

%I #8 Feb 06 2026 09:04:59

%S 6902,76110,822954,8724078,90768378,928340190,9349638474,92885168718,

%T 911723349018,8854871350590,85206548473194,813275908848558,

%U 7707582917100858,72593798062104990,680014644249413514,6339684115009571598,58857662097287159898,544436244277450683390

%N Row 4 of A372254.

%F a(n) ~ 8! * 9^n.

%t g[n_] := g[n] = If[n == 0, 1, Sum[Expand[x*g[n-j]]*Binomial[n-1, j-1], {j, 1, n}]]; A[n_, k_] := A[n, k] = Module[{q, l, b}, {q, l} = {-1, {n, n, k}}; b[n0_, j_] := b[n0, j] = If[j == 1, Product[q-i, {i, 0, n0-1}]*(q-n0)^l[[1]], Sum[b[n0 + m, j-1]*Coefficient[g[l[[j]]], x, m], {m, 0, l[[j]]}]]; Abs[b[0, 3]]]; Table[A[4,n], {n, 0, 20}] (* after _Jean-François Alcover_ *)

%Y Cf. A372254.

%K nonn

%O 0,1

%A _Vaclav Kotesovec_, Feb 06 2026