login
Even Catalan numbers divided by 2.
1

%I #8 Nov 03 2015 09:37:17

%S 1,7,21,66,715,2431,8398,29393,104006,371450,1337220,17678835,

%T 64822395,238819350,883631595,3282060210,12233133510,45741281820,

%U 171529806825,644952073662,2430973200726,9183676536076,34766775458002

%N Even Catalan numbers divided by 2.

%F a(n) = A152670(n)/2.

%t Select[CatalanNumber[Range[30]], EvenQ]/2 (* _Vladimir Reshetnikov_, Nov 02 2015 *)

%o (PARI) lista(nn) = for (n=1, nn, if (((c=binomial(2*n,n)/(n+1)) % 2) == 0, print1(c/2, ", "))); \\ _Michel Marcus_, Nov 02 2015

%Y Cf. A000108, A152670.

%K easy,nonn

%O 1,2

%A _Omar E. Pol_, Dec 10 2008