A288578 q-Expansion of wedge character chi^(2)(q).

1, 2, 5, 9, 18, 31, 55, 91, 151, 240, 381, 587, 900, 1352, 2018, 2966, 4332, 6250, 8962, 12725, 17962, 25147, 35015, 48414, 66603, 91071, 123945, 167786, 226154, 303375, 405337, 539249, 714740, 943659, 1241605, 1627812, 2127302, 2770966, 3598567

Offset

0,2

Links

Table of n, a(n) for n=0..38.

Shouvik Datta, M. R. Gaberdiel, W. Li, C. Peng, Twisted sectors from plane partitions, arXiv preprint arXiv:1606.07070 [hep-th], 2016. See Sect. 2.1.

Maple

chi := proc(l, e)
    local gf, m, n, f;
    gf := 0 ;
    for m from 0 to e+1 do
        f := 1;
        for n from 1 to min(m+abs(l), e-m+1) do
            f := f/(1-q^n) ;
        end do:
        for n from 1 to min(m, e-m+1) do
            f := f/(1-q^n) ;
        end do:
        gf := gf+f*q^m ;
    end do:
    expand(gf) ;
    coeftayl(%, q=0, e) ;
end proc:
A288578 := proc(n)
    chi(2, n) ;
end proc:
for n from 0 do
    printf("%d, \n", A288578(n)) ;
end do: # R. J. Mathar, Jul 04 2017

Crossrefs

Cf. A006330 (chi^(0)(q)), A001523 (chi^(1)(q)).

Sequence in context: A278690 A335838 A335837 * A002883 A295724 A342208

Adjacent sequences: A288575 A288576 A288577 * A288579 A288580 A288581

Keyword

nonn

Author

N. J. A. Sloane, Jul 01 2017

Status

approved