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A162694 Strictly positive numbers n such that 36*n/(36+n) are integers. 12

%I #12 Sep 09 2014 03:16:10

%S 12,18,36,45,72,108,126,180,288,396,612,1260

%N Strictly positive numbers n such that 36*n/(36+n) are integers.

%C The 36th row of A127730.

%C The ansatz 36*n/(36+n) = j (any integer j) yields n = 36*j/(36-j) which demonstrates that the sequence is finite if n >= 0. - _R. J. Mathar_, Jul 13 2009

%C Positive integers n such that half of the harmonic mean of 36 and n is an integer. - _Wesley Ivan Hurt_, Sep 07 2014

%t Select[Range[1000], IntegerQ[36#/(36 + #)] &] (* _Alonso del Arte_, Sep 06 2014 *)

%Y Cf. A162688, A162689, A162690, A162691, A162692, A162693

%Y Cf. A127730. [From _Franklin T. Adams-Watters_, Aug 07 2009]

%K nonn,fini,full

%O 1,1

%A _Vladimir Joseph Stephan Orlovsky_, Jul 10 2009

%E Edited by _R. J. Mathar_, Jul 13 2009

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Last modified April 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)