A381773
Expansion of ( (1/x) * Series_Reversion( x/((1+x) * C(x))^3 ) )^(1/3), where C(x) is the g.f. of A000108.
Original entry on oeis.org
1, 2, 15, 157, 1913, 25427, 357546, 5229980, 78765793, 1213181593, 19021747383, 302595975502, 4871780511910, 79232327379407, 1299767617080662, 21481625997258747, 357350097625089497, 5978708468143961925, 100537111802285439375, 1698302173359384479307
Offset: 0
A381772
Expansion of ( (1/x) * Series_Reversion( x/((1+x) * C(x))^2 ) )^(1/2), where C(x) is the g.f. of A000108.
Original entry on oeis.org
1, 2, 11, 83, 727, 6940, 70058, 735502, 7949031, 87851819, 988307647, 11279719247, 130286197186, 1520108988221, 17889102534329, 212095541328931, 2531001870925559, 30376237591559863, 366417240105654587, 4440000077166319993, 54020150448778625847, 659665548217188211288
Offset: 0
A381786
G.f. A(x) satisfies A(x) = (1 + x) * C(x*A(x)^3), where C(x) is the g.f. of A000108.
Original entry on oeis.org
1, 2, 9, 76, 744, 7986, 90836, 1075714, 13122656, 163769229, 2080985186, 26832199993, 350187469872, 4617094718728, 61406081813812, 822834184073768, 11098254270705028, 150555545320009712, 2052839917410937693, 28118478688846531072, 386727880988105218913, 5338557108832658927346
Offset: 0
-
a(n) = sum(k=0, n, binomial(5*k+1, k)*binomial(3*k+1, n-k)/(5*k+1));
Showing 1-3 of 3 results.