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 A347429 a(n) is the alternating sum of the n-th row of A047920. 2
 1, 1, 2, 3, 18, 47, 516, 1851, 28502, 128943, 2546352, 13889291, 334552866, 2135390367, 60692391308, 443650121787, 14531752130766, 119684543973551, 4438679955367752, 40666524402277323, 1684291581885909722, 16989963249272202591, 777243725319000331236 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..450 FORMULA a(n) = Sum_{k=0..n} (-1)^k * A047920(n,k). MAPLE b:= proc(n, k) option remember; `if`(k=0, n!, b(n, k-1)-b(n-1, k-1)) end: a:= n-> add(b(n, k)*(-1)^k, k=0..n): seq(a(n), n=0..23); MATHEMATICA a[n_] := Sum[(-1)^(j+k)*Binomial[k, j]*(n-j)!, {j, 0, n}, {k, 0, n}]; Table[a[n], {n, 0, 23}] (* Jean-François Alcover, Jun 04 2022 *) PROG (PARI) row(n) = vector(n+1, k, k--; sum(j=0, n, (-1)^j * binomial(k, j)*(n-j)!)); \\ A047920 a(n) = my(v=row(n)); sum(k=1, n+1, (-1)^k*row[k]); \\ Michel Marcus, Sep 04 2021 CROSSREFS Cf. A047920. Sequence in context: A064777 A137784 A053195 * A211867 A003693 A216628 Adjacent sequences: A347426 A347427 A347428 * A347430 A347431 A347432 KEYWORD nonn AUTHOR Alois P. Heinz, Sep 01 2021 STATUS approved

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Last modified February 23 14:24 EST 2024. Contains 370283 sequences. (Running on oeis4.)