A038557 Periodic derivative of n in base 3.

0, 2, 1, 4, 8, 0, 8, 0, 4, 10, 14, 15, 22, 26, 18, 7, 2, 3, 20, 21, 25, 5, 6, 1, 17, 9, 13, 28, 32, 33, 40, 44, 36, 52, 47, 48, 64, 68, 69, 76, 80, 72, 61, 56, 57, 19, 23, 24, 4, 8, 0, 16, 11, 12, 56, 57, 61, 68, 69, 64, 80, 72, 76, 11, 12, 16, 23, 24, 19, 8, 0, 4, 47, 48, 52, 32

Offset

0,2

References

Simmons, G. J. The structure of the differentiation digraphs of binary sequences. Ars Combin. 35 (1993), A, 71-88. Math. Rev. 95f:05052.

Links

Table of n, a(n) for n=0..75.

Formula

If n=b_k b_{k-1} ... b_0 in base 3, a(n) is number with ternary expansion (b_k+b_{k-1}) (b_{k-1}+b_{k-2}) ... (b_1+b_0) (b_0+b_{k}).

Example

14=112->200 so a(14)=18.

Crossrefs

Cf. A038554-A038556.

Sequence in context: A146004 A001933 A373671 * A348678 A011234 A208917

Adjacent sequences: A038554 A038555 A038556 * A038558 A038559 A038560

Keyword

nonn,nice,easy

Author

N. J. A. Sloane

Extensions

Corrected and extended by Naohiro Nomoto, Apr 08 2001

Status

approved