A379188
G.f. A(x) satisfies A(x) = 1/((1 - x*A(x)^3) * (1 - x*A(x))^3).
Original entry on oeis.org
1, 4, 34, 392, 5271, 77530, 1208602, 19620262, 328167191, 5616065633, 97867738285, 1730732539345, 30981439344096, 560293394484145, 10221582080782452, 187884236846039893, 3476266045318846245, 64690833375603622619, 1210026171180264742927, 22736845507710710652858
Offset: 0
-
a(n) = sum(k=0, n, binomial(n+3*k+1, k)*binomial(4*n+5*k+2, n-k)/(n+3*k+1));
A379191
G.f. A(x) satisfies A(x) = (1 + x*A(x))^3/(1 - x*A(x)^3).
Original entry on oeis.org
1, 4, 31, 338, 4356, 61603, 923958, 14433315, 232298914, 3825260332, 64140203645, 1091364139213, 18796605318655, 327056343952311, 5740466392321499, 101516213938082457, 1807045676161156515, 32352346658163940698, 582185299986049977601, 10524395285312191583304, 191034444423571726099486
Offset: 0
-
a(n) = sum(k=0, n, binomial(n+3*k+1, k)*binomial(3*n+6*k+3, n-k)/(n+3*k+1));
A379249
G.f. A(x) satisfies A(x) = (1 + x*A(x)^3) * (1 + x*A(x))^2.
Original entry on oeis.org
1, 3, 18, 148, 1403, 14417, 156161, 1755664, 20293341, 239654554, 2879027132, 35072400492, 432238230583, 5379422216020, 67513288465855, 853481985400772, 10858099927189575, 138912471444569435, 1786014309638224994, 23065160118446902506, 299062458173041384523
Offset: 0
-
a(n) = sum(k=0, n, binomial(n+2*k+1, k)*binomial(2*n+4*k+2, n-k)/(n+2*k+1));
Showing 1-3 of 3 results.