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A306034
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Number of length-n restricted growth strings (RGS) with growth <= ten and first element in [10].
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3
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1, 10, 155, 3035, 70500, 1877083, 56019305, 1844512570, 66219313755, 2568394851483, 106837050484924, 4737487302902715, 222819378516865825, 11068264704881204698, 578536038611685742843, 31718762374848254987147, 1818933941414434687198820
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OFFSET
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0,2
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LINKS
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FORMULA
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E.g.f.: exp(Sum_{j=1..10} (exp(j*x)-1)/j).
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MAPLE
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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);
# second Maple program:
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);
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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