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A262436 Number of ways to represent 2n - 1 as p^2 + q^2 + r with p, q, and r prime, and p >= q. 1

%I #9 Sep 24 2015 10:32:23

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

%T 3,3,1,3,4,4,5,0,2,5,2,4,3,2,4,1,4,3,5,2,3,5,1,4,6,2,5,2,2,4,3,3,3,5,

%U 3,3,5,2,4,6,3,3,4,2,6,6,3,3,5,3,3,6,3

%N Number of ways to represent 2n - 1 as p^2 + q^2 + r with p, q, and r prime, and p >= q.

%C k is in A212292 if and only if a((k+1)/2) = 0.

%H Peter Kagey, <a href="/A262436/b262436.txt">Table of n, a(n) for n = 1..10000</a>

%F a(16) = 3 because there are three different ways to represent 16 * 2 - 1 = 31 in the form p^2 + q^2 + r with p, q, and r prime, and p >= q:

%F 2^2 + 2^2 + 23,

%F 3^3 + 3^3 + 13,

%F 5^2 + 2^2 + 2.

%Y Cf. A212292.

%K nonn

%O 1,8

%A _Peter Kagey_, Sep 22 2015

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