A132039 -id:A132039 - cp's OEIS frontend

A275593 Shifts 2 places left under MNL transform.

1, 1, 1, 2, 6, 30, 270, 5100, 229380, 27535260, 9496469340, 10086965678520, 34571745136244520, 403054252638271664040, 16565160940382442188713320, 2510059126960200448967150682000, 1444160075122431073529236697462766000

Offset: 1

Johannes W. Meijer, Aug 03 2016

Shifts two places left under MNL transform, see A274760.

The Maple program is based on a program by Alois P. Heinz, see A007548 and A274804.

M. Bernstein and N. J. A. Sloane, Some Canonical Sequences of Integers, Linear Algebra and its Applications, Vol. 226-228 (1995), pp. 57-72. Erratum 320 (2000), 210. [Link to arXiv version]
M. Bernstein and N. J. A. Sloane, Some canonical sequences of integers, Linear Alg. Applications, 226-228 (1995), 57-72; erratum 320 (2000), 210. [Link to Lin. Alg. Applic. version together with omitted figures]

Cf. A274760, A007548, A274804, A132039, A275594.

mnltr:= proc(p) local g; g:= proc(n) option remember; `if` (n=0, 1, add(((n-1)!/(n-k)!)*p(k) *g(n-k), k=1..n)): end: end: d := mnltr(c): c := n->`if`(n<=2, 1, d(n-2)): A275593 := n -> c(n): seq(A275593(n), n=1..16);

mnltr[p_] := Module[{g}, g[n_] := g[n] = If[n == 0, 1, Sum[((n-1)!/(n-k)!)* p[k]*g[n-k], {k, 1, n}]]; g]; d = mnltr[a]; a[n_] := If[n <= 2, 1, d[n-2] ]; Array[a, 17] (* Jean-François Alcover, Nov 07 2017, translated from Maple *)

A275594 Shifts 3 places left under MNL transform.

Original entry on oeis.org

1, 1, 1, 1, 2, 6, 24, 144, 1464, 26808, 935184, 67404816, 10401844896, 3508019017056, 2732681228689152, 5018025242941566336, 21914759744001662937984, 238559201308551667344338304, 6565759935393013059564090526464

Offset: 1

Johannes W. Meijer, Aug 03 2016

Shifts three places left under MNL transform, see A274760.

The Maple program is based on a program by Alois P. Heinz, see A007548 and A274804.

M. Bernstein and N. J. A. Sloane, Some Canonical Sequences of Integers Linear Algebra and its Applications, Vol. 226-228 (1995), pp. 57-72. Erratum 320 (2000), 210. [Link to arXiv version]
M. Bernstein and N. J. A. Sloane, Some canonical sequences of integers, Linear Alg. Applications, 226-228 (1995), 57-72; erratum 320 (2000), 210. [Link to Lin. Alg. Applic. version together with omitted figures]

Cf. A274760, A007548, A274804, A132039, A275593.

mnltr:= proc(p) local g; g:= proc(n) option remember; `if` (n=0, 1, add(((n-1)!/(n-k)!)*p(k) *g(n-k), k=1..n)): end: end: d := mnltr(c): c := n->`if`(n<=3, 1, d(n-3)): A275594 := n-> c(n): seq(A275594(n), n=1..19);

mnltr[p_] := Module[{g}, g[n_] := g[n] = If [n == 0, 1, Sum[((n-1)!/(n-k)!) *p[k]*g[n-k], {k, 1 n}]]; g]; d = mnltr[c]; c [n_] := If[n <= 3, 1, d[n - 3]]; A275594[n_] := c[n]; Table[A275594[n], {n, 1, 19}] (* Jean-François Alcover, Jul 22 2017, translated from Maple *)

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A275593 Shifts 2 places left under MNL transform.

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