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A235793 Sum of all parts of all overpartitions of n. 7
2, 8, 24, 56, 120, 240, 448, 800, 1386, 2320, 3784, 6048, 9464, 14560, 22080, 32992, 48688, 71064, 102600, 146720, 207984, 292336, 407744, 564672, 776650, 1061424, 1442016, 1947904, 2617192, 3498720, 4654464, 6163584, 8126448, 10669472, 13952400, 18175896 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The equivalent sequence for partitions is A066186.

LINKS

Alois P. Heinz, Table of n, a(n) for n = 1..1000

FORMULA

a(n) = n*A015128(n).

a(n) ~ exp(Pi*sqrt(n)) / 8. - Vaclav Kotesovec, May 19 2018

MAPLE

b:= proc(n, i) option remember; `if`(n=0, [1, 0],

      `if`(i<1, [0$2], b(n, i-1)+add((l-> l+[0, l[1]*i*j])

       (2*b(n-i*j, i-1)), j=1..n/i)))

    end:

a:= n-> b(n$2)[2]:

seq(a(n), n=1..40);  # Alois P. Heinz, Jan 21 2014

MATHEMATICA

Table[n*Sum[PartitionsP[n-k]*PartitionsQ[k], {k, 0, n}], {n, 1, 40}] (* Jean-Fran├žois Alcover, Oct 20 2016, after Vaclav Kotesovec *)

CROSSREFS

Cf. A015128, A066186, A235790, A235792, A235797, A235798, A236000.

Sequence in context: A152132 A009059 A009297 * A182736 A083553 A051745

Adjacent sequences:  A235790 A235791 A235792 * A235794 A235795 A235796

KEYWORD

nonn

AUTHOR

Omar E. Pol, Jan 18 2014

STATUS

approved

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Last modified October 15 05:43 EDT 2019. Contains 328026 sequences. (Running on oeis4.)