A371494
G.f. A(x) satisfies A(x) = 1 / (1 - x*A(x) / (1+x))^2.
Original entry on oeis.org
1, 2, 5, 18, 72, 310, 1399, 6532, 31287, 152876, 759034, 3818410, 19420713, 99697784, 515909606, 2688267462, 14093211259, 74281217492, 393389969722, 2092312452404, 11171325560120, 59854910468196, 321717833732186, 1734250394445622, 9373581927760595
Offset: 0
-
a(n) = sum(k=0, n, (-1)^(n-k)*binomial(n-1, n-k)*binomial(3*k+1, k)/(k+1));
A371496
G.f. A(x) satisfies A(x) = 1 / (1 - x*A(x) / (1+x))^4.
Original entry on oeis.org
1, 4, 22, 156, 1233, 10420, 92120, 841376, 7876616, 75177492, 728784802, 7156081536, 71024862452, 711383912672, 7181295333306, 72989746391780, 746308443708928, 7671359593228624, 79226966456758424, 821691132077059740, 8554576791134761387
Offset: 0
-
a(n) = sum(k=0, n, (-1)^(n-k)*binomial(n-1, n-k)*binomial(5*k+3, k)/(k+1));
A371540
G.f. A(x) satisfies A(x) = 1 / (1 - x*A(x) / (1+x))^5.
Original entry on oeis.org
1, 5, 35, 310, 3055, 32151, 353755, 4019825, 46808750, 555621400, 6698027100, 81779512155, 1009194553315, 12567338972700, 157725047958100, 1992990741398625, 25333585976926275, 323725357496659565, 4156196637610760235, 53585106340408250725, 693491493195479127175
Offset: 0
-
a(n) = sum(k=0, n, (-1)^(n-k)*binomial(n-1, n-k)*binomial(6*k+4, k)/(k+1));
A371542
G.f. A(x) satisfies A(x) = (1 + x*A(x) / (1+x))^3.
Original entry on oeis.org
1, 3, 9, 34, 141, 621, 2849, 13467, 65127, 320686, 1602294, 8103087, 41397186, 213331026, 1107604764, 5788249329, 30422897664, 160717169622, 852894534042, 4544635033164, 24305345593290, 130423538829518, 701994030831654, 3788979493701069, 20503322609731348
Offset: 0
-
a(n) = sum(k=0, n, (-1)^(n-k)*binomial(n-1, n-k)*binomial(3*k+3, k)/(k+1));
A371545
G.f. A(x) satisfies A(x) = (1 + x*A(x)^2 / (1+x))^2.
Original entry on oeis.org
1, 2, 7, 36, 209, 1312, 8663, 59298, 416961, 2993790, 21857208, 161768154, 1210949944, 9152366596, 69745701746, 535304423948, 4134240993874, 32105769989714, 250551371644825, 1963871015580984, 15454014753626079, 122044659649929546, 966951068210379441
Offset: 0
-
a(n) = 2*sum(k=0, n, (-1)^(n-k)*binomial(n-1, n-k)*binomial(4*k+2, k)/(4*k+2));
Showing 1-5 of 5 results.