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

1,1

Links

Table of n, a(n) for n=1..105.

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.)

Crossrefs

Cf. A114889.

Sequence in context: A144029 A347030 A166949 * A145327 A255191 A277818

Adjacent sequences: A114887 A114888 A114889 * A114891 A114892 A114893

Keyword

nonn

Author

John W. Layman, Jan 04 2006

Status

approved