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A185324
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E.g.f. ln(1/(2-tan(x)-sec(x)).
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0
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0, 1, 2, 7, 34, 215, 1682, 15727, 171274, 2130275, 29799722, 463123747, 7916886514, 147635940335, 2982555226562, 64888568231767, 1512552803481754, 37608099684426395, 993530210286226202, 27791008680163167787, 820556749933610580994
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OFFSET
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0,3
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LINKS
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Table of n, a(n) for n=0..20.
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FORMULA
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a(n) = sum(k=1..n, (k-1)! * A147315(n,k)).
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MAPLE
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T:= proc(n, k) option remember;
if k=n then 1
elif k<0 or k>n then 0
else T(n-1, k-1) +k*T(n-1, k) +k*(k+1)/2 *T(n-1, k+1)
fi
end:
a:= n-> add ((k-1)! * T(n, k), k=1..n):
seq (a(n), n=0..20); # Alois P. Heinz, Feb 17 2011
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CROSSREFS
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Sequence in context: A074059 A177401 A171792 * A135882 A143740 A049463
Adjacent sequences: A185321 A185322 A185323 * A185325 A185326 A185327
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KEYWORD
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nonn
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AUTHOR
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Vladimir Kruchinin, Feb 17 2011
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STATUS
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approved
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