A370922
E.g.f. satisfies A(x) = log(1 + x/(1 - A(x)))/(1 - A(x)).
Original entry on oeis.org
0, 1, 3, 29, 444, 9454, 257822, 8576504, 336770592, 15246592440, 781883091672, 44797478362680, 2836034500712256, 196601715537070752, 14811696896760459264, 1205008924460733794688, 105284627507520312994560, 9832559605580777568425856
Offset: 0
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a(n) = sum(k=1, n, (n+2*k-2)!/(n+k-1)!*stirling(n, k, 1));
A368033
E.g.f. satisfies A(x) = log(1 + x/(1 - A(x))^2).
Original entry on oeis.org
0, 1, 3, 26, 370, 7334, 186468, 5787144, 212100208, 8964974016, 429304991880, 22971063265776, 1358260804832160, 87949592273821680, 6189420503357272608, 470384337802047909120, 38393707193347187344896, 3349704214386311986028160
Offset: 0
-
my(N=20, x='x+O('x^N)); concat(0, Vec(serlaplace(serreverse((1-x)^2*(exp(x)-1)))))
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a(n) = sum(k=1, n, (2*n+k-2)!/(2*n-1)!*stirling(n, k, 1));
A371326
E.g.f. satisfies A(x) = log(1 + x/(1 - A(x)))/(1 - A(x))^2.
Original entry on oeis.org
0, 1, 5, 71, 1606, 50334, 2017840, 98597204, 5684225640, 377709287232, 28423701233784, 2389343434217376, 221907620769333648, 22565504728129558272, 2493614778861026071584, 297548320679718887153088, 38128996565367754662297600, 5222327925855459163424791680
Offset: 0
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a(n) = sum(k=1, n, (n+3*k-2)!/(n+2*k-1)!*stirling(n, k, 1));
Showing 1-3 of 3 results.