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 A188569 Degree of the n-th partition class polynomial Hpart_n(x). 6
 3, 5, 7, 8, 10, 10, 11, 13, 14, 15, 13, 14, 19, 18, 19, 17, 16, 21, 20, 25, 21, 18, 26, 21, 25, 22, 23, 30, 24, 31, 21, 22, 32, 30, 33, 21, 29, 31, 28, 36, 27, 30, 35, 36, 34, 23, 27, 41, 35, 38, 35, 26, 40, 36, 45, 34, 25, 44, 34, 39, 32, 37, 49, 38, 51, 33 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS a(n) is the degree of the n-th partition class polynomial whose trace is the numerator of the finite algebraic formula for the number of partitions of n. The formula for the partition function is p(n) = Tr(n)/(24n - 1). See theorem 1.1 in the Bruinier-Ono paper. The traces are in A183011. See also Sutherland's table of Hpart_n(x) in the Links section. First differs from A183054 at a(24). It appears that this coincides with A183054 in a large number of terms. LINKS J. H. Bruinier and K. Ono, Algebraic formulas for the coefficients of half-integral weight harmonic weak Maass forms J. H. Bruinier, K. Ono, A. V. Sutherland, Class polynomials for nonholomorphic modular functions A. V. Sutherland, Partition class polynomials, Hpart_n(x), n = 1..770 EXAMPLE In the Bruinier-Ono paper, chapter 5 "Examples", the first "partition polynomial" is H_1(x) = x^3 - 23*x^2 + (3592/23)*x - 419, which has degree 3, so a(1) = 3. CROSSREFS Cf. A183007, A183010, A183011, A183054, A187218. Sequence in context: A185011 A175144 A183054 * A274140 A212294 A299495 Adjacent sequences:  A188566 A188567 A188568 * A188570 A188571 A188572 KEYWORD nonn AUTHOR Omar E. Pol, Feb 21 2013 EXTENSIONS This sequence arises from the original definition of A183054 (Jul 14 2011) which was changed. STATUS approved

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Last modified May 19 17:07 EDT 2022. Contains 353847 sequences. (Running on oeis4.)