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A201197 E.g.f A(x) satisfies A(x) = 1 + sinh(x)*A(sinh(x)). 0

%I

%S 1,1,2,7,36,241,2038,21113,259416,3711889,60941194,1132624593,

%T 23584844132,545415797577,13900638671182,387909856253257,

%U 11785121609470896,387841948278314657,13764450667964758290,524703399684950744353,21407375104944503282620

%N E.g.f A(x) satisfies A(x) = 1 + sinh(x)*A(sinh(x)).

%F 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.

%o (Maxima)

%o 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);

%K nonn

%O 0,3

%A _Vladimir Kruchinin_, Nov 28 2011

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Last modified June 18 12:22 EDT 2021. Contains 345104 sequences. (Running on oeis4.)