%I A002503 M3840
%S A002503 5,14,27,41,44,65,76,90,109,125,139,152,155,169,186,189,203,
%T A002503 208,209,219,227,230,237,265,275,298,307,311,314,321,324,
%U A002503 329,344,377,413,419,428,434,439,441,449,458,459,467,475
%N A002503 Numbers n such that binomial(2n,n) is divisible by (n+1)^2.
%D A002503 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A002503 H. Balakran, On the values of n which make (2n)!/(n+1)!(n+1)! an integer, 
               J. Indian Math. Soc., Vol. 18, 1929, 97-100.
%D A002503 P. Erdos, R. L. Graham, I. Z. Ruzsa and E. G. Straus, On the prime factors 
               of C(2n,n), Math. Comp. 29 (1975), 83-92.
%H A002503 T. D. Noe, <a href="b002503.txt">Table of n, a(n) for n=1..1000</a>
%Y A002503 Positions of zeros in A065350.
%Y A002503 Cf. A000108, A065344-A065349.
%Y A002503 A067348(n+2)/2 - 1.
%Y A002503 Sequence in context: A030745 A071421 A065351 this_sequence A014106 A110325 
               A140342
%Y A002503 Adjacent sequences: A002500 A002501 A002502 this_sequence A002504 A002505 
               A002506
%K A002503 nonn,easy,nice
%O A002503 1,1
%A A002503 N. J. A. Sloane (njas(AT)research.att.com), Mira Bernstein (mira(AT)math.berkeley.edu)
%E A002503 Balakran reference corrected by T. D. Noe, Jan 16 2007