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A191512 E.g.f. arctan(x*cos(x)) 5
0, 1, -5, 89, -4717, 449073, -69090581, 15583801609, -4846181282685, 1987373846425697, -1039121484066627877, 674707915373741222841, -532627526452975709882765, 502375568363623615781076625, -557965947638266639781208500277, 720767702359064719935712626879593, -1071470941893105999704454019614019741 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..16.

FORMULA

a(n)=(-1)^(n-1)*(2*n-1)!*sum(m=1..n, ((sum(i=0..(m-1),(2*m-1-2*i)^(2*n-2*m)*binomial(2*m-1,i))))/((2*m-1)*2^(2*m-2)*(2*n-2*m)!))for n>=1, a(0)=0.

PROG

(Maxima)

a(n):=(-1)^(n-1)*(2*n-1)!*sum(((sum((2*m-1-2*i)^(2*n-2*m)*binomial(2*m-1, i), i, 0, (m-1))))/((2*m-1)*2^(2*m-2)*(2*n-2*m)!), m, 1, n);

CROSSREFS

Sequence in context: A067257 A134497 A028353 * A015085 A258181 A067258

Adjacent sequences:  A191509 A191510 A191511 * A191513 A191514 A191515

KEYWORD

sign

AUTHOR

Vladimir Kruchinin, Jun 13 2011

STATUS

approved

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Last modified October 15 01:40 EDT 2019. Contains 328025 sequences. (Running on oeis4.)