A240238 -id:A240238 - cp's OEIS frontend

A240239 a(n) is one-half of the integer approximated by A135952(n)/A240238(n).

1, 1, 3, 2, 1, 1, 2, 1, 1, 3, 2, 1, 1, 9, 1, 1, 3, 1, 1, 1, 9, 3, 1, 6, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 1, 1, 1, 30, 3, 2, 3, 39, 1, 1, 1, 6, 3, 34, 1, 1, 2, 1, 1, 1, 1, 1, 3, 1, 9, 1, 1, 1, 2, 1, 37, 3, 9, 6, 1, 8, 1, 1, 2, 1, 3, 2, 10, 1, 1, 11, 19, 3, 1, 1, 1, 1, 2, 1, 1, 7, 1, 47, 3, 3, 1, 1, 2, 1, 1

Offset: 1

Hans Havermann, Apr 02 2014

nonn

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.

			(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.

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

Cf. A135952, A240238.

cp's OEIS Frontend

A240239 a(n) is one-half of the integer approximated by A135952(n)/A240238(n).

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