A365691
G.f. satisfies A(x) = 1 + x^2*A(x)^5 / (1 - x*A(x)).
Original entry on oeis.org
1, 0, 1, 1, 6, 12, 54, 147, 593, 1886, 7292, 25204, 96153, 348304, 1327716, 4946471, 18936366, 71827598, 276612103, 1062220253, 4115807184, 15947902376, 62148513732, 242485933208, 949828266722, 3726623622402, 14663689944397, 57798199213989
Offset: 0
-
a(n) = sum(k=0, n\2, binomial(n-k-1, n-2*k)*binomial(n+3*k+1, k)/(n+3*k+1));
A365692
G.f. satisfies A(x) = 1 + x*A(x) / (1 - x^2*A(x)^4).
Original entry on oeis.org
1, 1, 1, 2, 7, 23, 72, 238, 831, 2959, 10645, 38824, 143492, 535700, 2016020, 7641574, 29152015, 111841263, 431209723, 1669945778, 6493144143, 25338440143, 99204579648, 389570145288, 1534026813892, 6055885764548, 23962654178012, 95023123291680
Offset: 0
-
a(n) = sum(k=0, n\2, binomial(n-k-1, k)*binomial(n+2*k+1, n-2*k)/(n+2*k+1));
A365609
G.f. satisfies A(x) = 1 + x^2*A(x)^4*(1 + x*A(x)).
Original entry on oeis.org
1, 0, 1, 1, 4, 9, 27, 78, 231, 715, 2193, 6954, 21999, 70840, 228896, 746650, 2447757, 8072208, 26745627, 89002364, 297344960, 996865397, 3352918429, 11310307593, 38256171642, 129718262583, 440855654827, 1501451066767, 5123671576890, 17516503865294
Offset: 0
-
a(n) = sum(k=0, n\2, binomial(k, n-2*k)*binomial(n+2*k+1, k)/(n+2*k+1));
Showing 1-3 of 3 results.