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.

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

Original entry on oeis.org

1, 0, 2, 4, 6, 10, 16, 26, 40, 62, 92, 136, 198, 284, 404, 570, 794, 1100, 1512, 2060, 2792, 3760, 5030, 6696, 8868, 11682, 15322, 20008, 26012, 33688, 43464, 55864, 71560, 91360, 116256, 147490, 186562, 235304, 295976, 371308, 464614, 579944, 722180, 897212
Offset: 0

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Author

Jeremy Lovejoy, Aug 23 2021

Keywords

Comments

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.

Links

Crossrefs

Cf. A015128, A143184, A347206.

Formula

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)).
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Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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