login
A300351
Triangle whose n-th row lists in order all Heinz numbers of integer partitions of n into odd parts.
2
1, 2, 4, 5, 8, 10, 16, 11, 20, 32, 22, 25, 40, 64, 17, 44, 50, 80, 128, 34, 55, 88, 100, 160, 256, 23, 68, 110, 125, 176, 200, 320, 512, 46, 85, 121, 136, 220, 250, 352, 400, 640, 1024, 31, 92, 170, 242, 272, 275, 440, 500, 704, 800, 1280, 2048, 62, 115, 184
OFFSET
1,2
COMMENTS
The Heinz number of an integer partition (y_1,...,y_k) is prime(y_1)*...*prime(y_k).
EXAMPLE
Triangle of partitions into odd parts begins:
0
(1)
(11)
(3) (111)
(31) (1111)
(5) (311) (11111)
(51) (33) (3111) (111111)
(7) (511) (331) (31111) (1111111)
(71) (53) (5111) (3311) (311111) (11111111)
MATHEMATICA
Table[Sort[Times@@Prime/@#&/@Select[IntegerPartitions[n], And@@OddQ/@#&]], {n, 0, 12}]
KEYWORD
nonn,tabf
AUTHOR
Gus Wiseman, Mar 03 2018
STATUS
approved