A364760
G.f. satisfies A(x) = 1 / (1 + x*(1 + x*A(x))^2).
Original entry on oeis.org
1, -1, -1, 4, 1, -21, 14, 111, -195, -529, 1837, 1792, -14772, 2300, 105431, -126697, -657427, 1650427, 3285795, -16211352, -8308737, 135770125, -79748628, -990431659, 1700106664, 6098396204, -20258923714, -27342511804, 193913175511, 12018867589
Offset: 0
-
a(n) = sum(k=0, n, (-1)^k*binomial(n+1, k)*binomial(2*k, n-k))/(n+1);
A364761
G.f. satisfies A(x) = 1 / (1 + x*(1 + x*A(x))^3).
Original entry on oeis.org
1, -1, -2, 5, 12, -41, -89, 391, 733, -4051, -6320, 44120, 54990, -496406, -465932, 5710408, 3637847, -66714699, -22683218, 787957397, 35371351, -9376925921, 2356626520, 112147043475, -61910867756, -1345231820826, 1158452138826, 16156200619772
Offset: 0
-
a(n) = sum(k=0, n, (-1)^k*binomial(n+1, k)*binomial(3*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.