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A003705
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E.g.f. tan(sin(x)) (odd powers only).
(Formerly M3172)
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2
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1, 1, -3, -107, -1095, 41897, 3027637, 34528445, -11832720271, -1190157296815, 22592230600813, 23107531656941541, 2633888933338158633, -362759000929143575815, -189312598480126813670107, -18315162183020706728157939
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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REFERENCES
| N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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FORMULA
| a(n)=2*sum(m=0..n-1, ((sum(j=1..2*m+1, j!*2^(-j)*(-1)^(j+1)*stirling2(2*m+1,j)))*sum(i=0..(2*m+1)/2, (2*i-(2*m+1))^(2*n-1)*binomial(2*m+1,i)*(-1)^(n-i)))/(2*m+1)!); [From Vladimir Kruchinin, Jun 11 2011]
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PROG
| (Maxima)
a(n):=2*sum(((sum(j!*2^(-j)*(-1)^(j+1)*stirling2(2*m+1, j), j, 1, 2*m+1))*sum((2*i-(2*m+1))^(2*n-1)*binomial(2*m+1, i)*(-1)^(n-i), i, 0, (2*m+1)/2))/(2*m+1)!, m, 0, n-1); [From Vladimir Kruchinin, Jun 11 2011]
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CROSSREFS
| Sequence in context: A142509 A023325 A094200 * A146214 A061308 A112879
Adjacent sequences: A003702 A003703 A003704 * A003706 A003707 A003708
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KEYWORD
| sign
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AUTHOR
| R. H. Hardin (rhhardin(AT)att.net), Simon Plouffe (simon.plouffe(AT)gmail.com)
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