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A306029 Number of length-n restricted growth strings (RGS) with growth <= five and first element in [5]. 3
1, 5, 40, 405, 4875, 67354, 1044045, 17867125, 333554020, 6730070329, 145676361731, 3362266525430, 82326965117385, 2129349953723509, 57961263778376192, 1655067729384150829, 49437118345913831595, 1540860755766376984434, 50000885646431513577973 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..444

FORMULA

E.g.f.: exp(Sum_{j=1..5} (exp(j*x)-1)/j).

MAPLE

b:= proc(n, m) option remember; `if`(n=0, 1,

      add(b(n-1, max(m, j)), j=1..m+5))

    end:

a:= n-> b(n, 0):

seq(a(n), n=0..25);

# second Maple program:

a:= n-> n!*coeff(series(exp(add((exp(j*x)-1)/j, j=1..5)), x, n+1), x, n):

seq(a(n), n=0..25);

CROSSREFS

Column k=5 of A306024.

Cf. A305965.

Sequence in context: A079158 A061633 A143437 * A243671 A083304 A208248

Adjacent sequences:  A306026 A306027 A306028 * A306030 A306031 A306032

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Jun 17 2018

STATUS

approved

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Last modified April 8 05:55 EDT 2020. Contains 333312 sequences. (Running on oeis4.)