STATUS
reviewed
approved
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Revision History for A337561
(Bold, blue-underlined text is an addition; faded, red-underlined text is aShowing entries 1-10 | older changes
Number of pairwise coprime strict compositions of n, where a singleton is not considered coprime unless it is (1).
(history; published version)
(history; published version)
STATUS
proposed
reviewed
STATUS
editing
proposed
LINKS
Fausto A. C. Cariboni, <a href="/A337561/b337561.txt">Table of n, a(n) for n = 0..600</a>
STATUS
approved
editing
STATUS
proposed
approved
STATUS
editing
proposed
DATA
0, 1, 1, 0, 2, 2, 4, 8, 6, 16, 12, 22, 40, 40, 66, 48, 74, 74, 154, 210, 228, 242, 240, 286, 394, 806, 536, 840, 654, 1146, 1618, 2036, 2550, 2212, 2006, 2662, 4578, 4170, 7122, 4842, 6012, 6214, 11638, 13560, 16488, 14738, 15444, 16528, 25006, 41002, 32802
MATHEMATICA
Table[Length[Select[Join@@Permutations/@IntegerPartitions[n], #=={}||UnsameQ@@#&&CoprimeQ@@#&]], {n, 0, 10}]
CROSSREFS
A332004(n > 0) counts the relatively prime instead of pairwise coprime version.
A337562 considers all singletons to be coprime, A000740 counts relatively prime compositions, with not necessarily strict version A101268case A332004.
A101268 considers all singletons to be coprime, with strict case A337562.