A186038 a(n) = log_3(A002426(n)/numerator(A002426(n)/3^n)).

0, 0, 1, 0, 0, 1, 1, 1, 3, 0, 0, 1, 0, 0, 1, 2, 2, 4, 1, 1, 2, 1, 1, 2, 2, 2, 5, 0, 0, 1, 0, 0, 1, 1, 1, 3, 0, 0, 1, 0, 0, 1, 5, 3, 4, 2, 2, 3, 2, 2, 3, 3, 3, 6, 1, 1, 2, 1, 1, 2, 2, 2, 4, 1, 1, 2, 1, 1, 2, 3, 3, 6, 2, 2, 3, 2, 2, 3, 3, 3, 7

Offset: 0

Author

Paul Barry, Feb 11 2011

Keywords

• nonn
• easy

Comments

(-1)^a(n) = A186039(n).

Links

• G. C. Greubel, Table of n, a(n) for n = 0..1000

Programs

Maple

A186038 := proc(n)
    local m,ml ;
    m := A002426(n) ;
    ml := %/3^n ;
    m/numer(ml) ;
    ilog[3](%) ;
end proc: # R. J. Mathar, Feb 13 2015

Mathematica

b[n_] := If[n < 0, 0, 3^n Hypergeometric2F1[1/2, -n, 1, 4/3]];
a[n_] := Log[3, b[n]/Numerator[b[n]/3^n]]; Table[a[n], {n,0,50}] (* G. C. Greubel, Feb 27 2017 *)