



0, 0, 1, 0, 1, 2, 1, 2, 3, 1, 2, 3, 2, 3, 4, 3, 4, 5, 3, 4, 5, 4, 5, 6, 5, 6, 7, 4, 5, 6, 5, 6, 7, 6, 7, 8, 6, 7, 8, 7, 8, 9, 8, 9, 10, 8, 9, 10, 9, 10, 11, 10, 11, 12, 9, 10, 11, 10, 11, 12, 11, 12, 13, 11, 12, 13, 12, 13, 14, 13, 14, 15, 13, 14, 15, 14, 15, 16
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

0,6


COMMENTS

Using the definition of A133579 this amounts to a(n) = a(n1)valuation_3(n) if n=3k, and a(n) = a(n1)+1 else.  M. F. Hasler, Feb 15 2015


LINKS

M. F. Hasler, Table of n, a(n) for n = 0..3000


EXAMPLE

a(18)=a(17)2 because 18=3^2, a(81)=a(80)4 because 81=3^4.


MATHEMATICA

nxt[{n_, a_}] := {n + 1, If[CoprimeQ[a, n + 1], 3 a, a/GCD[a, n + 1]]}; Log[3, #]&/@Join[{1}, Transpose[NestList[nxt, {1, 1}, 80]][[2]]] (* Harvey P. Dale, Feb 14 2015 *)


PROG

(PARI) a=1; A253092=vector(1000, n, a+=if(n%3, 1, valuation(n, 3))) \\ M. F. Hasler, Feb 15 2015


CROSSREFS

Cf. A133579.
Sequence in context: A057945 A285730 A280055 * A194546 A115452 A039676
Adjacent sequences: A253089 A253090 A253091 * A253093 A253094 A253095


KEYWORD

nonn


AUTHOR

N. J. A. Sloane, Feb 14 2015


STATUS

approved



