A114890 First differences of A114889.

2, 1, 3, 2, 1, 1, 1, 1, 6, 2, 1, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 15, 2, 1, 3, 2, 1, 1, 1, 1, 6, 2, 1, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 42, 2, 1, 3, 2, 1, 1, 1, 1, 6, 2, 1, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1

Offset: 1

Author

John W. Layman, Jan 04 2006

Keywords

• nonn

Crossrefs

Cf. A114889.

Formula

Conjecture. a(1)=2 and, for n>1, a(n)=1+3+9+...+3^(k-1) + 2, if n=3^k, a(n)=a(n-3^k), if 3^k < n < 2*3^k - 1, else a(n)=1. (This has been verified for n<=3000.)