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A278339 Number of set partitions of [n] into subsets whose element sums are distinct squares. 6
1, 1, 0, 0, 1, 0, 1, 0, 1, 23, 9, 41, 248, 277, 1556, 2854, 5233, 20701, 145137, 1626890, 4118910, 9963276, 9260756, 64027363, 365237571, 1002679107, 21594036300, 24465529531, 144914973347, 1921444799766 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,10

LINKS

Table of n, a(n) for n=0..29.

EXAMPLE

a(0) = 1: {}.

a(1) = 1: 1.

a(4) = 1: 1|234.

a(6) = 1: 1|2356|4.

a(8) = 1: 12345678.

a(9) = 23: 12345678|9, 123568|4|79, 1236789|45, 1245789|36, 126|345789, 12589|367|4, 1258|3679|4, 12679|358|4, 1267|3589|4, 1345689|27, 135|246789, 13|24568|79, 13579|268|4, 1357|2689|4, 13678|259|4, 13|259|4678, 13|2689|457, 13|268|4579, 156789|234, 18|2345679, 169|23578|4, 1789|2356|4, 178|23569|4.

a(10) = 9: 1|2356|4|78(10)|9, 1|23578|4|6(10)|9, 1|258(10)|367|4|9, 1|258(10)|36|4|79, 1|259|36|4|78(10), 1|267(10)|358|4|9, 1|268|357(10)|4|9, 1|27|3589|4|6(10), 1|27|358|4|69(10).

CROSSREFS

Cf. A252897, A275780, A278329, A278340, A281994.

Sequence in context: A096640 A040510 A134910 * A317814 A318422 A013360

Adjacent sequences:  A278336 A278337 A278338 * A278340 A278341 A278342

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Nov 18 2016

STATUS

approved

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Last modified March 23 16:52 EDT 2019. Contains 321432 sequences. (Running on oeis4.)