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Number of q in the range 0<=q<=n for which k(n)+k(q) is prime, with k(n) := n*(n+1)^2/2.
0

%I #12 Mar 31 2012 10:33:09

%S 1,1,0,1,0,2,1,0,0,3,0,1,2,0,0,2,1,3,1,0,0,9,1,0,2,2,0,2,1,2,4,0,0,6,

%T 1,1,5,4,1,3,2,3,2,0,0,15,0,2,2,3,3,7,1,4,2,1,3,17,2,1,6,5,1,4,2,8,3,

%U 0,0,7,2,3,9,3,1,2,0,9,1,0,2,21,1,4,6,9,2,5,2,4,6,3,3,16,2,2,4,5,1,2

%N Number of q in the range 0<=q<=n for which k(n)+k(q) is prime, with k(n) := n*(n+1)^2/2.

%e a(6)=2 because 147+2 and 147+50 are primes;

%e a(10)=3 because 605+2, 605+224 and 605+324 are primes.

%Y Cf. A006002, A130504.

%K nonn

%O 1,6

%A _Gerasimov Sergey_, Mar 27 2012

%E Corrected by R. J. Mathar, Mar 30 2012