A380723
E.g.f. A(x) satisfies A(x) = exp(x * A(x)^2) / (1 - x*A(x)^2).
Original entry on oeis.org
1, 2, 21, 436, 13785, 589206, 31825381, 2080523880, 159761186577, 14097898530730, 1405926737063541, 156379679761925148, 19195200442017128425, 2577494115099820986174, 375845854490491567916805, 59145488004443221188738256, 9990898494797767848442559649, 1803160967691789114062089511250
Offset: 0
A377889
E.g.f. A(x) satisfies A(x) = exp(x * A(x))/(1 - x*A(x)^3).
Original entry on oeis.org
1, 2, 21, 472, 16581, 795736, 48509641, 3589729760, 312603962985, 31321633489408, 3549706188092541, 448973808123051520, 62697159481460439469, 9581292408000225087488, 1590488540940006100524657, 284993765391981838318575616, 54826610288277007690469896017
Offset: 0
A380768
E.g.f. A(x) satisfies A(x) = exp(x * A(x) / (1 - x*A(x)^2)) / (1 - x*A(x)^2).
Original entry on oeis.org
1, 2, 19, 361, 10481, 411961, 20477185, 1232420449, 87148819441, 7083132622561, 650681345267801, 66674532650884753, 7540078499903430937, 932840158873518067537, 125332464410926005144241, 18173310946391976757487041, 2828702590649296770695135585, 470432341506749952275419504321
Offset: 0
-
a(n, q=1, r=2, s=1, t=1, u=1) = q*n!*sum(k=0, n, (r*n+(s-r)*k+q)^(k-1)*binomial((r*u+1)*n+((s-r)*u+t-1)*k+q*u-1, n-k)/k!);
Showing 1-3 of 3 results.