%I #20 Jul 08 2023 04:03:09
%S 1,13,50,185,686,2562,9636,36465,138710,529958,2032316,7818538,
%T 30161740,116635300,451980360,1754766945,6824030310,26577181950,
%U 103647597900,404703270510,1581953021220,6189965556060,24242879364600,95027512981050,372782298576636,1463445866837052
%N a(n) = C(n)*(12n+1) where C(n) = Catalan numbers (A000108).
%D Albert H. Beiler, Recreations in the Theory of Numbers, Dover, N.Y., 1964, pp. 194-196.
%H Andrew Howroyd, <a href="/A050491/b050491.txt">Table of n, a(n) for n = 0..200</a>
%F G.f.: (11 - 20*x - 11*sqrt(1 - 4*x))/(2*x*sqrt(1 - 4*x)). - _Amiram Eldar_, Jul 08 2023
%t Table[CatalanNumber[n] * (12*n + 1), {n, 0, 25}] (* _Amiram Eldar_, Jul 08 2023 *)
%o (Magma) [Catalan(n)*(12*n+1):n in [0..25] ]; // _Marius A. Burtea_, Jan 05 2020
%Y Column k=12 of A330965.
%Y Cf. A017401, A027810, A000108.
%K easy,nonn
%O 0,2
%A _Barry E. Williams_, Dec 27 1999
%E Terms a(21) and beyond from _Andrew Howroyd_, Jan 05 2020