A373730 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

A373730

Reduced Collatz function R applied to the numbers 6n+1: a(n) = R(6n+1), where R(k) = (3k+1)/2^r, with r as large as possible.

1, 11, 5, 29, 19, 47, 7, 65, 37, 83, 23, 101, 55, 119, 1, 137, 73, 155, 41, 173, 91, 191, 25, 209, 109, 227, 59, 245, 127, 263, 17, 281, 145, 299, 77, 317, 163, 335, 43, 353, 181, 371, 95, 389, 199, 407, 13, 425, 217, 443, 113, 461, 235, 479, 61, 497, 253, 515

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,2

LINKS

Paolo Xausa, Table of n, a(n) for n = 0..10000

FORMULA

a(n) = A000265(A017185(n)).

MATHEMATICA

A373730[n_] := #/2^IntegerExponent[#, 2] & [9*n + 2];

Array[A373730, 100, 0] (* Paolo Xausa, Aug 19 2024 *)

PROG

(PARI) a(n) = n=9*n+2; n>>valuation(n, 2);