A092106 Fractal mountains in base 3.

0, 1, 3, 2, 2, 3, 1, 0, 0, 1, 3, 6, 6, 7, 9, 8, 8, 9, 11, 14, 18, 19, 21, 24, 24, 25, 27, 26, 26, 27, 25, 24, 24, 21, 19, 18, 18, 19, 21, 20, 20, 21, 19, 18, 18, 19, 21, 24, 24, 25, 27, 26, 26, 27, 25, 24, 24, 21, 19, 18, 14, 11, 9, 8, 8, 9, 7, 6, 6, 3, 1, 0, 0, 1, 3, 2, 2, 3, 1, 0, 0, 1

Offset

0,3

Comments

The graph of sequence presents fractal aspects.

Links

Table of n, a(n) for n=0..81.

Formula

a(n)=a(n, 3) where a(n, m)=sum(i=0, n, sum(k=0, i, (-1)^k*(floor(i/m^k)-m*floor(i/m^(k+1)))))

Crossrefs

Cf. A005536 (fractal mountains in base 2).

Sequence in context: A217956 A105198 A133882 * A278885 A183049 A178086

Adjacent sequences: A092103 A092104 A092105 * A092107 A092108 A092109

Keyword

nonn

Author

Benoit Cloitre, Mar 29 2004

Status

approved