A381412 E.g.f. A(x) satisfies A(x) = exp( 2 * sinh(x * A(x)) / A(x) ).
1, 2, 4, 10, 64, 754, 9024, 109050, 1544960, 27480162, 567449600, 12641553258, 303021248512, 7982668175954, 231306526932992, 7245659221444186, 242226980924424192, 8623216994933650114, 327015684198600278016, 13169904418920596839626, 560434137147666884198400
Offset: 0
Keywords
Programs
-
PARI
a136630(n, k) = 1/(2^k*k!)*sum(j=0, k, (-1)^(k-j)*(2*j-k)^n*binomial(k, j)); a(n) = 2*sum(k=0, n, (2*n-2*k+2)^(k-1)*a136630(n, k));