A057614 a(n+1) = a(n)/2 if 2|a(n), a(n)/3 if 3|a(n), a(n)/5 if 5|a(n), a(n)/7 if 7|a(n), otherwise 11*a(n)+1.

17, 188, 94, 47, 518, 259, 37, 408, 204, 102, 51, 17, 188, 94, 47, 518, 259, 37, 408, 204, 102, 51, 17, 188, 94, 47, 518, 259, 37, 408, 204, 102, 51, 17, 188, 94, 47, 518, 259, 37, 408, 204, 102, 51, 17, 188, 94, 47, 518, 259, 37, 408, 204, 102, 51, 17, 188, 94, 47, 518, 259, 37, 408, 204, 102, 51

Offset

0,1

Comments

This is the '11x+1' map. The 'Px+1 map': if x is divisible by any prime < P then divide out these primes one at a time starting with the smallest; otherwise multiply x by P and add 1.

Sequence has period 11. - Alois P. Heinz, Jan 19 2021

Links

Table of n, a(n) for n=0..65.

Eric Weisstein's World of Mathematics, Collatz problem

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,0,1).

Crossrefs

Cf. A057446, A057216, A057522, A057534.

Sequence in context: A369332 A022741 A225966 * A041548 A025931 A115234

Adjacent sequences: A057611 A057612 A057613 * A057615 A057616 A057617

Keyword

nonn,easy

Author

Murad A. AlDamen (Divisibility(AT)yahoo.com), Oct 17 2000

Status

approved