A222032 - OEIS

%I #17 Mar 12 2013 12:46:07

%S 1,1,23,1,1,1,47,1,2209,47,1,1,71,1,5041,71,357911,5041,1,1,95,1,9025,

%T 19,857375,361,11875,1,1,119,1,2023,1,240737,14161,200533921,1685159,

%U 4857223,1,1,143,1,1573,143,2924207,20449,418161601,2924207,27217619

%N Irregular triangle read by rows in which row n gives denominators of the coefficients of the partition class polynomial Hpart_n(x), n >= 1.

%C For more information see A222031.

%H A. V. Sutherland, <a href="http://math.mit.edu/~drew/Pfiles/">Partition class polynomials</a>, Hpart_n(x), for n = 1..770

%e For n = 1 the first partition class polynomial Hpart_1(x) is x^3 - 23*x^2 + 3592/23*x - 419, so the denominators of the coefficients are 1, 1, 23, 1.

%e Triangle begins:

%e 1, 1, 23, 1;

%e 1, 1, 47, 1, 2209, 47;

%e 1, 1, 71, 1, 5041, 71, 357911, 5041;

%e 1, 1, 95, 1, 9025, 19, 857375, 361, 11875;

%e 1, 1, 119, 1, 2023, 1, 240737, 14161, 200533921, 1685159, 4857223;

%e 1, 1, 143, 1, 1573, 143, 2924207, 20449, 418161601, 2924207, 27217619;

%e 1, 1, 167, 1, 27889, 167, 4657463, 27889, 777796321, 4657463, 129891985607, 777796321;

%Y Row n has length 1 + A188569(n). For numerators see A222031.

%Y Cf. A000041, A183007, A183010, A183011, A187218, A188569, A220515.

%K nonn,frac,tabf

%O 1,3

%A _Omar E. Pol_, Mar 04 2013