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A248137 Least positive integer m such that m + n divides M(m) + M(n), where M(.) is given by A001006. 6
1, 1, 244, 1, 23, 4, 1, 1, 3494, 1, 68058, 4, 20, 18, 35, 1, 4, 14, 32, 13, 21, 1, 5, 22, 172, 7, 8, 1, 1, 28, 14, 19, 2, 178, 15, 227, 2, 6, 109, 1, 22, 122, 47, 22, 126, 1, 43, 60, 41, 18, 24, 1, 13, 23, 21, 24, 126, 1, 152, 6 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

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

LINKS

Zhi-Wei Sun, Table of n, a(n) for n = 1..2187

EXAMPLE

a(5) = 23 since 5 + 23 = 28 divides M(5) + M(23) = 21 + 1129760415 = 1129760436 = 28*40348587.

MATHEMATICA

M[n_]:=Sum[Binomial[n, 2k]Binomial[2k, k]/(k+1), {k, 0, n/2}]

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

CROSSREFS

Cf. A001006, A247824, A247937, A247940, A248124, A248125, A248133, A248136, A248139, A248142.

Sequence in context: A164657 A151638 A352033 * A243774 A051002 A044987

Adjacent sequences:  A248134 A248135 A248136 * A248138 A248139 A248140

KEYWORD

nonn

AUTHOR

Zhi-Wei Sun, Oct 02 2014

STATUS

approved

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Last modified August 13 22:39 EDT 2022. Contains 356109 sequences. (Running on oeis4.)