A380778
Expansion of e.g.f. (1/x) * Series_Reversion( x * exp(-x / (1 + x)^2) / (1 + x)^2 ).
Original entry on oeis.org
1, 3, 21, 238, 3777, 77616, 1966381, 59379888, 2085295617, 83580555520, 3767468068581, 188731359078912, 10405256927541889, 626236791181897728, 40860738460515664125, 2873352871221375440896, 216652727562188159522049, 17437704874236857627246592, 1492289181734461545084103477
Offset: 0
-
a(n, q=1, r=1, s=1, t=-2, u=2) = q*n!*sum(k=0, n, (r*n+(s-r)*k+q)^(k-1)*binomial(r*u*n+((s-r)*u+t)*k+q*u, n-k)/k!);
A380779
Expansion of e.g.f. (1/x) * Series_Reversion( x * exp(-x / (1 + x)) / (1 + x)^2 ).
Original entry on oeis.org
1, 3, 23, 298, 5529, 134496, 4062631, 146903184, 6193969137, 298577002240, 16204658051031, 978156957629952, 65017249611283657, 4719532271850590208, 371519503997940966375, 31526820740816885549056, 2869134152226896957509089, 278763390556764407051452416
Offset: 0
-
a(n, q=1, r=1, s=1, t=-1, u=2) = q*n!*sum(k=0, n, (r*n+(s-r)*k+q)^(k-1)*binomial(r*u*n+((s-r)*u+t)*k+q*u, n-k)/k!);
A380780
Expansion of e.g.f. (1/x) * Series_Reversion( x * exp(-x * (1 + x)) / (1 + x)^2 ).
Original entry on oeis.org
1, 3, 27, 436, 10353, 326856, 12920731, 614694816, 34223383809, 2184028353280, 157223422977531, 12606338448248832, 1114292924502666673, 107657947282494206976, 11287975339133863810875, 1276603658863119005618176, 154909721707963344338403969, 20076669149268201122957819904
Offset: 0
-
a(n, q=1, r=1, s=1, t=1, u=2) = q*n!*sum(k=0, n, (r*n+(s-r)*k+q)^(k-1)*binomial(r*u*n+((s-r)*u+t)*k+q*u, n-k)/k!);
A380762
Expansion of e.g.f. (1/x) * Series_Reversion( x * exp(-x * (1 + x)^2) / (1 + x) ).
Original entry on oeis.org
1, 2, 15, 208, 4249, 115656, 3946879, 162225680, 7807264497, 430828353280, 26825288214031, 1860715287986688, 142304071119852745, 11897080341213068288, 1079508321205459768575, 105660694801273960216576, 11097101798773200862180321, 1244852059489783737208012800
Offset: 0
-
a(n, q=1, r=1, s=1, t=2, u=1) = q*n!*sum(k=0, n, (r*n+(s-r)*k+q)^(k-1)*binomial(r*u*n+((s-r)*u+t)*k+q*u, n-k)/k!);
Showing 1-4 of 4 results.