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A306032 Number of length-n restricted growth strings (RGS) with growth <= eight and first element in [8]. 3
1, 8, 100, 1580, 29632, 637220, 15363376, 408744260, 11858631472, 371738275844, 12498545568496, 447999414313412, 17033296095318832, 684009592157461508, 28904630032314771184, 1281216363971401581764, 59402574686629293902896, 2873649326399265142739972 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..413

FORMULA

E.g.f.: exp(Sum_{j=1..8} (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+8))

    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..8)), x, n+1), x, n):

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

CROSSREFS

Column k=8 of A306024.

Cf. A305968.

Sequence in context: A246237 A234513 A251686 * A274844 A302944 A060570

Adjacent sequences:  A306029 A306030 A306031 * A306033 A306034 A306035

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Jun 17 2018

STATUS

approved

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Last modified April 1 10:33 EDT 2020. Contains 333159 sequences. (Running on oeis4.)