A187218 a(n) is the coefficient of the 4th term in the n-th Bruinier-Ono "partition polynomial" H_n(x), if such coefficient is an integer, otherwise a(n)=0.

419, 65838, 723721, 9455070

Offset: 1

Author

Omar E. Pol, Jul 09 2011

Keywords

• nonn
• hard
• more

Comments

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

The coefficient of the second term in the n-th Bruinier-Ono "partition polynomial" H_n(x) is A183011(n).

Is there a closed formula for a(n)?

Examples

			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) = 419.
		

Links

• J. H. Bruinier and K. Ono, Algebraic formulas for the coefficients of half-integral weight harmonic weak Maass forms

Crossrefs

Cf. A183010, A183011, A187206.