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A288578 q-Expansion of wedge character chi^(2)(q). 2
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 (list; graph; refs; listen; history; text; internal format)
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: A091356 A107705 A278690 * A002883 A295724 A077865

Adjacent sequences:  A288575 A288576 A288577 * A288579 A288580 A288581

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Jul 01 2017

STATUS

approved

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Last modified March 28 05:13 EDT 2020. Contains 333073 sequences. (Running on oeis4.)