A364742
G.f. satisfies A(x) = 1 / (1 - x*(1 + x*A(x))^3).
Original entry on oeis.org
1, 1, 4, 13, 50, 201, 841, 3627, 15993, 71803, 327082, 1508002, 7023446, 32995626, 156173668, 744029238, 3565030063, 17169013899, 83061503584, 403483653745, 1967217524551, 9623463731721, 47220968518786, 232354408276613, 1146254897566224, 5668118931395946
Offset: 0
-
a(n) = sum(k=0, n, binomial(n+1, k)*binomial(3*k, n-k))/(n+1);
A364743
G.f. satisfies A(x) = 1 / (1 - x*(1 + x*A(x))^4).
Original entry on oeis.org
1, 1, 5, 19, 85, 402, 1971, 9976, 51633, 272131, 1455486, 7879664, 43096967, 237777710, 1321792096, 7396125088, 41624735353, 235461758085, 1338049873395, 7634930866465, 43726638130854, 251273386911443, 1448362622788376, 8371936106228253
Offset: 0
-
a(n) = sum(k=0, n, binomial(n+1, k)*binomial(4*k, n-k))/(n+1);
A364763
G.f. satisfies A(x) = 1 / (1 + x*(1 + x*A(x))^5).
Original entry on oeis.org
1, -1, -4, 4, 51, -6, -770, -694, 12363, 25583, -198824, -701944, 3049603, 17238467, -41348631, -396817391, 391720363, 8689985437, 1902247845, -181526287908, -253530149234, 3597968506523, 9727546141524, -66671292054788, -291760189535999, 1116731578365699
Offset: 0
-
a(n) = sum(k=0, n, (-1)^k*binomial(n+1, k)*binomial(5*k, n-k))/(n+1);
Showing 1-3 of 3 results.