OFFSET
0,6
EXAMPLE
The partition (6,4,4,1) has two choices, namely {1,2,4,6} and {1,2,3,4}, so is counted under a(15).
The a(0) = 0 through a(13) = 18 partitions (A..D = 10..13):
. . 2 3 4 5 6 7 8 9 A B C D
32 42 43 44 54 64 65 66 76
41 52 53 63 73 74 75 85
61 62 72 82 83 84 94
431 81 91 92 93 A3
432 433 A1 A2 B2
621 532 443 543 C1
541 542 633 544
622 632 642 643
631 641 651 652
821 732 661
741 742
822 832
831 841
921 922
A21
5431
6421
MATHEMATICA
Table[Length[Select[IntegerPartitions[n], Length[Union[Sort /@ Select[Tuples[Divisors/@#], UnsameQ@@#&]]]>1&]], {n, 0, 30}]
CROSSREFS
KEYWORD
nonn,more
AUTHOR
Gus Wiseman, Mar 03 2024
STATUS
approved