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a(n) is the numerator of the coefficient of the third term in the n-th Bruinier-Ono "partition polynomial" H_n(x).
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%I #5 Mar 30 2012 17:34:05

%S 3592,169659,1312544,9032603

%N a(n) is the numerator of the coefficient of the third term in the n-th Bruinier-Ono "partition polynomial" H_n(x).

%C See the Bruinier-Ono paper, chapter 5 "Examples".

%C For the denominators see A183010.

%H J. H. Bruinier and K. Ono, <a href="http://www.aimath.org/news/partition/brunier-ono.pdf">Algebraic formulas for the coefficients of half-integral weight harmonic weak Maass forms</a>

%e In the Bruinier-Ono paper the first "partition polynomial" is H_1(x) = x^3 - 23*x^2 + (3592/23)*x - 419 (See chapter 5 "Examples"), so a(1) = 3592.

%Y Cf. A183010, A183011, A187218.

%K nonn,more

%O 1,1

%A _Omar E. Pol_, Jul 13 2011