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A248144 Least positive integer m such that m + n divides p(m*n), where p(.) is the partition function given by A000041. 3
4, 5, 3, 1, 2, 14, 2, 10, 1, 4, 17, 5, 9, 1, 1, 6, 4, 10, 16, 357, 1, 197, 14, 1, 3, 9, 6, 1123, 15, 93, 4, 1, 8, 46, 77, 99, 18, 53, 10, 76, 4, 2, 15, 152, 4, 3, 10, 29, 6, 12, 4, 1, 25, 1, 252, 64, 106, 11, 11, 136 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Conjecture: a(n) exists for any n > 0.
LINKS
EXAMPLE
a(6) = 14 since 6 + 14 = 20 divides p(6*14) = 26543660.
MATHEMATICA
Do[m=1; Label[aa]; If[Mod[PartitionsP[m*n], m+n]==0, Print[n, " ", m]; Goto[bb]]; m=m+1; Goto[aa]; Label[bb]; Continue, {n, 1, 60}]
CROSSREFS
Sequence in context: A019743 A010663 A016494 * A171870 A244144 A201337
KEYWORD
nonn
AUTHOR
Zhi-Wei Sun, Oct 02 2014
STATUS
approved

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Last modified May 18 03:12 EDT 2024. Contains 372617 sequences. (Running on oeis4.)