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

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);

Crossrefs

Cf. A000265, A017185, A075677, A260658.

Sequence in context: A168206 A120831 A253254 * A363347 A229525 A174103

Adjacent sequences: A373727 A373728 A373729 * A373731 A373732 A373733

Keyword

nonn,easy,changed

Author

Jonas Kaiser, Jun 17 2024

Status

approved