A141256 An Okazaki-like composition, see A126759.

1, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 4, 2, 5, 3, 2, 2, 6, 2, 7, 2, 3, 4, 8, 2, 2, 5, 2, 3, 9, 2, 10, 2, 4, 6, 3, 2, 11, 7, 5, 2, 12, 3, 13, 4, 2, 8, 14, 2, 15, 2, 6, 5, 16, 2, 4, 3, 7, 9, 17, 2, 18, 10, 3, 2, 5, 4, 19, 6, 8, 3, 20, 2, 21, 11, 2, 7, 22, 5, 23, 2, 2, 12, 24, 3, 6, 13, 9, 4, 25, 2, 26, 8, 10, 14

Offset: 0

Author

Reinhard Zumkeller, Jun 17 2008

Keywords

• nonn

Comments

a(5*n) = a(3*n) = a(2*n) = a(n);

for n with GCD(n,30)=1: a(n+30*k)=a(n)+8*k, note: 30=2*3*5,

A000010(30)=8;

for k>1: a(A007775(k-1))=k and a(m)A007775(k-1).

Links

• R. Zumkeller, Table of n, a(n) for n = 0..10000

Formula

a(n) = if n=0 then 1 else if GCD(n,30)>1 then a(LPD(n)) else 2*floor(n/30) + (if n mod 30 = 1 then 2 else IP(n)-1), with IP=A049084, LPD=A032742 and GCD=A050873.