cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A347207 The number of overpartitions of n whose Frobenius symbols have only positive parts in the top row.

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%I A347207 #7 Aug 24 2021 06:59:34
%S A347207 1,0,2,4,6,10,16,26,40,62,92,136,198,284,404,570,794,1100,1512,2060,
%T A347207 2792,3760,5030,6696,8868,11682,15322,20008,26012,33688,43464,55864,
%U A347207 71560,91360,116256,147490,186562,235304,295976,371308,464614,579944,722180,897212
%N A347207 The number of overpartitions of n whose Frobenius symbols have only positive parts in the top row.
%C A347207 a(n) is also the excess of the number of overpartitions of n with an even number of overlined parts larger than the number of non-overlined parts over the number of overpartitions of n with an odd number of overlined parts larger than the number of non-overlined parts.
%H A347207 B. Kim, E. Kim, and J. Lovejoy, <a href="https://doi.org/10.1142/S1793042120400345">On weighted overpartitions related to some q-series in Ramanujan's lost notebook</a>, Int. J. Number Theory 17 (2021), 603-619.
%F A347207 G.f.: (Product_{k>=1} (1+q^k)/(1-q^k))*(1-2*Sum_{n>=1} q^(n*(3*n-1)/2)*(1-q^n)).
%Y A347207 Cf. A015128, A143184, A347206.
%K A347207 nonn
%O A347207 0,3
%A A347207 _Jeremy Lovejoy_, Aug 23 2021