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A248143 Least integer m > 0 such that m + n divides p(m) + p(n), where p(.) is the partition function given by A000041. 3
1, 1, 1, 61, 13, 7, 1, 25, 109, 41, 60, 1, 5, 24, 18, 6, 3, 7, 38, 12, 86, 31, 18, 14, 8, 96, 470, 2, 37, 245, 8, 6, 37, 2, 20, 137, 3, 19, 24, 63, 10, 99, 52, 32, 16, 638, 15, 20, 61, 45, 288, 43, 52, 12, 371, 123, 94, 8, 483, 11 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

Conjecture: a(n) exists for any n > 0.

LINKS

Zhi-Wei Sun, Table of n, a(n) for n = 1..765

EXAMPLE

a(5) = 13 since 5 + 13 = 18 divides p(5) + p(13) = 7 + 101 = 108.

MATHEMATICA

Do[m=1; Label[aa]; If[Mod[PartitionsP[m]+PartitionsP[n], m+n]==0, Print[n, " ", m]; Goto[bb]]; m=m+1; Goto[aa]; Label[bb]; Continue, {n, 1, 60}]

CROSSREFS

Cf. A000041, A247824, A247937, A247940, A248124, A248125, A248133, A248136, A248137, A248139, A248142, A248144.

Sequence in context: A106426 A106416 A224730 * A012860 A002108 A087409

Adjacent sequences: A248140 A248141 A248142 * A248144 A248145 A248146

KEYWORD

nonn

AUTHOR

Zhi-Wei Sun, Oct 02 2014

STATUS

approved

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Last modified December 4 11:13 EST 2022. Contains 358556 sequences. (Running on oeis4.)