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A306033

Number of length-n restricted growth strings (RGS) with growth <= nine and first element in [9].

1, 9, 126, 2229, 46791, 1126032, 30377223, 904211997, 29347973748, 1029154793775, 38706399597879, 1551902279238186, 65998768155695109, 2964410257125490269, 140111251278756345054, 6946234487211269640633, 360202406323880296650987, 19488725004898446787394016

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OFFSET

0,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..406

FORMULA

E.g.f.: exp(Sum_{j=1..9} (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+9))

end:

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