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A110708
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E.g.f. log(1+arctan(x))
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0
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0, 1, -1, 0, 2, 8, -64, -112, 2064, 8192, -157056, -599808, 16072704, 80010240, -2484268032, -13537247232, 506459129856, 3160676007936, -135526008225792, -929451393220608, 45507663438741504
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,5
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FORMULA
| a(n)=n!*sum(m=0..(n-1)/2, (2^(2*m-n)*(n-2*m)!*(-1)^(n-m-1)*sum(i=0..2*m, (2^(i+n-2*m)*stirling1(n-2*m+i,n-2*m)*binomial(n-1,n-2*m+i-1))/(n-2*m+i)!))/(n-2*m));
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PROG
| (Maxima)
a(n):=2*n!*sum((2^(-(n-2*m)-1)*(n-2*m)!*(-1)^(n-m-1)*sum((2^(i+n-2*m)*stirling1(n-2*m+i, n-2*m)*binomial(n-1, n-2*m+i-1))/(n-2*m+i)!, i, 0, 2*m))/(n-2*m), m, 0, (n-1)/2);
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CROSSREFS
| Sequence in context: A153526 A153554 A139018 * A191570 A052707 A059862
Adjacent sequences: A110705 A110706 A110707 * A110709 A110710 A110711
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KEYWORD
| sign
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AUTHOR
| Vladimir Kruchinin (kru(AT)ie.tusur.ru), Jun 12 2011
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