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A191464 E.g.f. (1+sin(x))^sin(x) 0
1, 0, 2, -3, 12, -60, 226, -1323, 7872, -47688, 350760, -2677323, 21860264, -197850276, 1885325040, -19153887483, 208328775168, -2386457931984, 28865395641280, -368167396914963, 4923222534781824 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..20.

FORMULA

a(n)=2*sum(m=1..n, sum(r=0..(n-m)/2, (stirling1(n-m-2*r,m)*sum(i=0..(n/2-r),(2*i-n+2*r)^n*binomial(n-2*r,i)*(-1)^(n-r-i))/(2^(n-2*r)*(n-m-2*r)!)))), n>0, a(0)=1.

PROG

(Maxima)

a(n):=2*sum(sum((stirling1(n-m-2*r, m)*sum((2*i-n+2*r)^n*binomial(n-2*r, i)*(-1)^(n-r-i), i, 0, (n/2-r))/(2^(n-2*r)*(n-m-2*r)!)), r, 0, (n-m)/2), m, 1, n);

CROSSREFS

Sequence in context: A025231 A094532 A092980 * A052183 A123899 A188588

Adjacent sequences:  A191461 A191462 A191463 * A191465 A191466 A191467

KEYWORD

sign

AUTHOR

Vladimir Kruchinin, Jun 03 2011

STATUS

approved

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Last modified August 20 01:14 EDT 2019. Contains 326136 sequences. (Running on oeis4.)