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A318584 Number of integer partitions of n whose sum of reciprocals squared is 1. 5
0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 3, 0, 1, 1, 6, 2, 3, 2, 6, 2, 2, 3, 2, 6, 7, 2, 4, 3, 9, 4, 7, 5, 8, 8, 7, 9, 9, 11, 12, 7, 9, 11, 17, 9, 13, 12, 17, 16, 13, 15, 20, 26, 27, 18, 23 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,42

COMMENTS

The a(16) = 1 integer partition:

  (6,3,3,2,2,2)

The a(48) = 2 integer partitions:

  (18,9,9,3,3,2,2,2)

  (6,6,6,6,3,3,3,3,3,3,3,3)

The a(56) = 3 integer partitions:

  (12,6,6,4,4,4,4,4,4,4,2,2)

  (10,6,5,5,5,5,5,5,3,3,2,2)

  (6,6,4,4,4,4,4,4,4,4,3,3,3,3)

The a(60) = 6 integer partitions:

  (12,12,12,12,3,3,2,2,2)

  (8,8,8,8,6,4,4,4,3,3,2,2)

  (6,6,6,6,6,6,6,6,6,2,2,2)

  (12,12,12,4,3,3,3,3,3,3,2)

  (10,5,5,5,5,5,5,4,4,4,4,2,2)

  (6,4,4,4,4,4,4,4,4,4,4,4,4,3,3)

LINKS

Table of n, a(n) for n=0..100.

MATHEMATICA

Table[Length[Select[IntegerPartitions[n], Total[#^(-2)]==1&]], {n, 30}]

CROSSREFS

Cf. A000041, A051908, A058360, A289506, A289507, A316854, A316855.

Cf. A318585, A318586, A318587, A318588, A318589.

Sequence in context: A116856 A140344 A279479 * A177338 A024158 A054978

Adjacent sequences:  A318581 A318582 A318583 * A318585 A318586 A318587

KEYWORD

nonn

AUTHOR

Gus Wiseman, Aug 29 2018

EXTENSIONS

a(61)-a(100) from Alois P. Heinz, Aug 30 2018

STATUS

approved

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Last modified November 21 12:28 EST 2019. Contains 329370 sequences. (Running on oeis4.)