1,3

The integer approximation can be made exact by first adding 1 to A135952(n) where a(n) is odd, or subtracting 1 from A135952(n) where a(n) is even, before dividing by A240238(n).

Conjecture: a(n) never ends with the digit 5.

Hans Havermann, Table of n, a(n) for n = 1..5000

Hans Havermann, Magic multipliers

(A135952(1)+1)/A240238(1) = (37+1)/19 = 2, so a(1) is 2/2 = 1.

(A135952(2)+1)/A240238(2) = (73+1)/37 = 2, so a(2) is 2/2 = 1.

(A135952(3)+1)/A240238(3) = (113+1)/19 = 6, so a(3) is 6/2 = 3.

(A135952(4)-1)/A240238(4) = (149-1)/37 = 4, so a(4) is 4/2 = 2.

Cf. A135952, A240238.

Sequence in context: A140736 A284993 A140056 * A247044 A083663 A085427

Adjacent sequences: A240236 A240237 A240238 * A240240 A240241 A240242

nonn

Hans Havermann, Apr 02 2014

approved