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 A328676 Number of relatively prime integer partitions of n whose distinct parts are pairwise indivisible. 4
 1, 1, 1, 1, 2, 1, 4, 3, 5, 5, 11, 7, 16, 14, 18, 22, 34, 30, 47, 45, 59, 66, 89, 90, 118, 125, 159, 169, 218, 225, 289, 304, 369, 400, 486, 520, 636, 680, 806, 873, 1051, 1105, 1333, 1424, 1664, 1803, 2122, 2253, 2659, 2841, 3283, 3560, 4118, 4388, 5096 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 LINKS Table of n, a(n) for n=1..55. EXAMPLE The a(4) = 1 through a(11) = 11 partitions: 1111 32 111111 43 53 54 73 65 11111 52 332 72 433 74 322 11111111 522 532 83 1111111 3222 3322 92 111111111 1111111111 443 533 722 3332 5222 32222 11111111111 MATHEMATICA stableQ[u_, Q_]:=!Apply[Or, Outer[#1=!=#2&&Q[#1, #2]&, u, u, 1], {0, 1}]; Table[Length[Select[IntegerPartitions[n], GCD@@#==1&&stableQ[#, Divisible]&]], {n, 30}] CROSSREFS The Heinz numbers of these partitions are given by A328677. The strict case is A328678. The binary index version is A328671. Relatively prime partitions are A000837. Partitions whose distinct parts are pairwise indivisible are A305148. Cf. A285573, A289509, A303362, A316476, A326912, A327393, A328171. Sequence in context: A107640 A030065 A362939 * A269595 A055176 A118267 Adjacent sequences: A328673 A328674 A328675 * A328677 A328678 A328679 KEYWORD nonn AUTHOR Gus Wiseman, Oct 29 2019 STATUS approved

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Last modified April 24 20:08 EDT 2024. Contains 371963 sequences. (Running on oeis4.)