A381880
Expansion of (1/x) * Series_Reversion( x * (1-x)^3 / C(x) ), where C(x) is the g.f. of A000108.
Original entry on oeis.org
1, 4, 27, 223, 2052, 20199, 208205, 2219149, 24261279, 270581313, 3066581130, 35216499786, 408919039968, 4792955710138, 56633333886618, 673881539636365, 8067939162382594, 97117925556632184, 1174721577627568371, 14270877151754826473, 174044527062280321368
Offset: 0
A381881
Expansion of (1/x) * Series_Reversion( x / ((1+x)^2 * C(x)) ), where C(x) is the g.f. of A000108.
Original entry on oeis.org
1, 3, 14, 82, 547, 3958, 30249, 240362, 1966235, 16449495, 140093989, 1210575512, 10587490383, 93540456103, 833619150838, 7484887130882, 67645312129491, 614872423359187, 5617522739173495, 51556112664387720, 475105557839611760, 4394434006611790855
Offset: 0
A381912
Expansion of (1/x) * Series_Reversion( x * (1-x)^2 / B(x) ), where B(x) is the g.f. of A001764.
Original entry on oeis.org
1, 3, 17, 124, 1038, 9470, 91586, 923542, 9608323, 102403921, 1112500651, 12275235274, 137193964646, 1549964417407, 17672282336488, 203092563108610, 2350061579393077, 27357919380212638, 320186582453226290, 3765185566095185740, 44465070300433434901, 527131055014319691537
Offset: 0
-
a(n) = sum(k=0, n, binomial(n+3*k+1, k)*binomial(3*n-k+1, n-k)/(n+3*k+1));
A381915
Expansion of (1/x) * Series_Reversion( x * (1-x)^2 / B(x) ), where B(x) is the g.f. of A002293.
Original entry on oeis.org
1, 3, 18, 145, 1378, 14515, 163700, 1936414, 23716654, 298216851, 3827542585, 49938733635, 660366743580, 8830549084588, 119205253249287, 1622258295003714, 22232669093660250, 306569446979862205, 4250285556933578693, 59210418891925845529, 828417259759216617257
Offset: 0
-
a(n) = sum(k=0, n, binomial(n+4*k+1, k)*binomial(3*n-k+1, n-k)/(n+4*k+1));
Showing 1-4 of 4 results.