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A065347
Positions of zeros in A065344, i.e., binomial(2n,n) mod ((n+1)*(n+2)) = 0.
6
3, 5, 8, 9, 11, 12, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27, 29, 32, 33, 35, 36, 38, 39, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 80, 81, 83, 84, 86, 87, 89, 90
OFFSET
1,1
LINKS
C. Pomerance, Divisors of the middle binomial coefficient, Amer. Math. Monthly, 112 (2015), 636-644.
MATHEMATICA
ris = {}; Do[If[Mod[Binomial[2 n, n], (n + 1) (n + 2)] == 0, AppendTo[ris, n]], {n, 100}]; ris (* Bruno Berselli, Jan 06 2014 *)
PROG
(PARI) { n=0; for (m=1, 10^9, if (binomial(2*m, m) % ((m + 1)*(m + 2)) == 0, write("b065347.txt", n++, " ", m); if (n==1000, return)) ) } \\ Harry J. Smith, Oct 17 2009
CROSSREFS
KEYWORD
nonn
AUTHOR
Labos Elemer, Oct 30 2001
STATUS
approved