A373864 Reduced Collatz function R applied to the numbers 6n+5: a(n) = R(6n+5), where R(k) = (3k+1)/2^r, with r as large as possible.

1, 17, 13, 35, 11, 53, 31, 71, 5, 89, 49, 107, 29, 125, 67, 143, 19, 161, 85, 179, 47, 197, 103, 215, 7, 233, 121, 251, 65, 269, 139, 287, 37, 305, 157, 323, 83, 341, 175, 359, 23, 377, 193, 395, 101, 413, 211, 431, 55, 449, 229, 467, 119

Offset

0,2

Links

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

Formula

a(n) = A000265(A017257(n)).

Mathematica

A373864[n_] := #/2^IntegerExponent[#, 2] & [9*n + 8];
Array[A373864, 100, 0] (* Paolo Xausa, Aug 19 2024 *)

Prog

(PARI) a(n) = n=9*n+8; n>>valuation(n, 2);

Crossrefs

Cf. A000265, A017257, A075677, A260658, A373730.

Sequence in context: A168250 A089502 A279058 * A357190 A195534 A373469

Adjacent sequences: A373861 A373862 A373863 * A373865 A373866 A373867

Keyword

nonn,easy,changed

Author

Jonas Kaiser, Jun 19 2024

Status

approved