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A321142 Number of strict integer partitions of 2*n with no subset summing to n. 2
0, 1, 2, 3, 5, 7, 11, 15, 23, 30, 43, 57, 79, 102, 138, 174, 232, 292, 375, 471, 602, 741, 935, 1148, 1425, 1733, 2137, 2571, 3156, 3789, 4557, 5470, 6582, 7796, 9317, 11027, 13058, 15400, 18159, 21249, 24971, 29170, 33986, 39596, 46073, 53219, 61711, 71330, 82171 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
Fausto A. C. Cariboni, Table of n, a(n) for n = 0..200
EXAMPLE
The a(1) = 1 through a(8) = 23 partitions:
(2) (4) (6) (8) (10) (12) (14) (16)
(3,1) (4,2) (5,3) (6,4) (7,5) (8,6) (9,7)
(5,1) (6,2) (7,3) (8,4) (9,5) (10,6)
(7,1) (8,2) (9,3) (10,4) (11,5)
(5,2,1) (9,1) (10,2) (11,3) (12,4)
(6,3,1) (11,1) (12,2) (13,3)
(7,2,1) (5,4,3) (13,1) (14,2)
(7,3,2) (6,5,3) (15,1)
(7,4,1) (8,4,2) (7,5,4)
(8,3,1) (8,5,1) (7,6,3)
(9,2,1) (9,3,2) (9,4,3)
(9,4,1) (9,5,2)
(10,3,1) (9,6,1)
(11,2,1) (10,4,2)
(8,3,2,1) (10,5,1)
(11,3,2)
(11,4,1)
(12,3,1)
(13,2,1)
(6,5,4,1)
(7,4,3,2)
(9,4,2,1)
(10,3,2,1)
MATHEMATICA
Table[Length[Select[IntegerPartitions[n], And[UnsameQ@@#, !Or@@Table[SameQ[Total[#[[s]]], n/2], {s, Subsets[Range[Length[#]]]}]]&]], {n, 2, 20, 2}]
CROSSREFS
Sequence in context: A241726 A353723 A308990 * A336106 A366845 A024792
KEYWORD
nonn
AUTHOR
Gus Wiseman, Oct 28 2018
EXTENSIONS
a(33)-a(48) from Giovanni Resta, Oct 30 2018
STATUS
approved

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Last modified March 29 07:27 EDT 2024. Contains 371265 sequences. (Running on oeis4.)