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A238312 Square row sums of the table A072233 (A008284). 1
1, 1, 2, 3, 7, 11, 25, 41, 82, 142, 260, 436, 785, 1287, 2199, 3592, 5959, 9511, 15453, 24268, 38565, 59838, 93232, 142589, 219089, 330848, 500658, 748140, 1117856, 1651987, 2441484, 3572470, 5223653, 7576447, 10971112, 15775735, 22649645, 32307553, 46001087, 65138447, 92045412 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..80

FORMULA

a(n) = sum(p(n,k)^2,k=0..n), where p(n,k) is the number of partitions of n into k positive parts (A072233, A008284).

MATHEMATICA

pnkList[n_] := Table[Length[IntegerPartitions[n, {k}]], {k, 0, n}]

Table[Total[Map[#^2 &, pnkList[n]]], {n, 0, 40}]

CROSSREFS

Cf. A072233, A008284.

Sequence in context: A092217 A191659 A007481 * A121268 A101173 A294451

Adjacent sequences:  A238309 A238310 A238311 * A238313 A238314 A238315

KEYWORD

nonn

AUTHOR

Emanuele Munarini, Feb 24 2014

STATUS

approved

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Last modified September 20 14:29 EDT 2020. Contains 337265 sequences. (Running on oeis4.)