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A306034

Number of length-n restricted growth strings (RGS) with growth <= ten and first element in [10].

1, 10, 155, 3035, 70500, 1877083, 56019305, 1844512570, 66219313755, 2568394851483, 106837050484924, 4737487302902715, 222819378516865825, 11068264704881204698, 578536038611685742843, 31718762374848254987147, 1818933941414434687198820

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OFFSET

0,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..400

FORMULA

E.g.f.: exp(Sum_{j=1..10} (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+10))

end:

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

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

# Alternative:

a:= n-> n!*coeff(series(exp(add((exp(j*x)-1)/j, j=1..10)), x, n+1), x, n):

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

CROSSREFS

Column k=10 of A306024.

Cf. A305970.

Sequence in context: A261802 A246239 A235340 * A381999 A129460 A379858

Adjacent sequences: A306031 A306032 A306033 * A306035 A306036 A306037

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Jun 17 2018

STATUS

approved

URL: https://oeis.org/A306034

⇱ A306034 - OEIS