A371371
E.g.f. satisfies A(x) = exp(x/(1 - A(x))^2) - 1.
Original entry on oeis.org
0, 1, 5, 61, 1209, 33261, 1171933, 50363293, 2554659761, 149399423101, 9896519640981, 732401926901613, 59890184672573929, 5362586032967290765, 521831581416561627149, 54834132144912233219581, 6188110724712474697469025, 746431260858514472012500701
Offset: 0
-
my(N=20, x='x+O('x^N)); concat(0, Vec(serlaplace(serreverse((1-x)^2*log(1+x)))))
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a(n) = sum(k=1, n, (2*n+k-2)!/(2*n-1)!*stirling(n, k, 2));
A376040
E.g.f. satisfies A(x) = -log(1 - x / (1 - A(x))^3).
Original entry on oeis.org
0, 1, 7, 119, 3258, 123414, 5978082, 352880562, 24573720672, 1972239280488, 179250831525720, 18197871488362752, 2041093578923498448, 250654006995798120480, 33449544716000374458000, 4819960747934844400104480, 745867334512204468875843840
Offset: 0
-
my(N=20, x='x+O('x^N)); concat(0, Vec(serlaplace(serreverse((1-x)^3*(1-exp(-x))))))
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a(n) = sum(k=1, n, (3*n+k-2)!/(3*n-1)!*abs(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)))))
-
a(n) = sum(k=1, n, (2*n+k-2)!/(2*n-1)!*stirling(n, k, 1));
A376067
E.g.f. satisfies A(x) = (-log(1 - x / (1 - A(x))^2)) * (1 - A(x)).
Original entry on oeis.org
0, 1, 3, 26, 372, 7424, 190150, 5946576, 219643592, 9357076704, 451643892408, 24359462797680, 1451906224395792, 94769186402062080, 6723078079388867040, 515064037555614081024, 42380187502270667120640, 3727409807764337879016960
Offset: 0
-
a(n) = sum(k=1, n, (2*n-2)!/(2*n-k-1)!*abs(stirling(n, k, 1)));
Showing 1-4 of 4 results.