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A201197 E.g.f A(x) satisfies A(x) = 1 + sinh(x)*A(sinh(x)). 0
1, 1, 2, 7, 36, 241, 2038, 21113, 259416, 3711889, 60941194, 1132624593, 23584844132, 545415797577, 13900638671182, 387909856253257, 11785121609470896, 387841948278314657, 13764450667964758290, 524703399684950744353, 21407375104944503282620 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

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

FORMULA

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

PROG

(Maxima)

a(n):=if n=0 then 1 else sum((a(k-1)/(k-1)!*sum((-1)^i*(k-2*i)^n*binomial(k, i), i, 0, k))/2^k, k, 1, n);

CROSSREFS

Sequence in context: A308750 A088715 A088313 * A185754 A191493 A095793

Adjacent sequences:  A201194 A201195 A201196 * A201198 A201199 A201200

KEYWORD

nonn

AUTHOR

Vladimir Kruchinin, Nov 28 2011

STATUS

approved

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Last modified May 9 12:10 EDT 2021. Contains 343740 sequences. (Running on oeis4.)