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

%I #11 Jul 04 2017 06:46:35

%S 1,2,5,9,18,31,55,91,151,240,381,587,900,1352,2018,2966,4332,6250,

%T 8962,12725,17962,25147,35015,48414,66603,91071,123945,167786,226154,

%U 303375,405337,539249,714740,943659,1241605,1627812,2127302,2770966,3598567

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

%H Shouvik Datta, M. R. Gaberdiel, W. Li, C. Peng, <a href="https://arxiv.org/abs/1606.07070">Twisted sectors from plane partitions</a>, arXiv preprint arXiv:1606.07070 [hep-th], 2016. See Sect. 2.1.

%p chi := proc(l,e)

%p local gf,m,n,f;

%p gf := 0 ;

%p for m from 0 to e+1 do

%p f := 1;

%p for n from 1 to min(m+abs(l),e-m+1) do

%p f := f/(1-q^n) ;

%p end do:

%p for n from 1 to min(m,e-m+1) do

%p f := f/(1-q^n) ;

%p end do:

%p gf := gf+f*q^m ;

%p end do:

%p expand(gf) ;

%p coeftayl(%,q=0,e) ;

%p end proc:

%p A288578 := proc(n)

%p chi(2,n) ;

%p end proc:

%p for n from 0 do

%p printf("%d,\n",A288578(n)) ;

%p end do: # _R. J. Mathar_, Jul 04 2017

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

%K nonn

%O 0,2

%A _N. J. A. Sloane_, Jul 01 2017

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Last modified April 19 14:10 EDT 2024. Contains 371792 sequences. (Running on oeis4.)