A088660 A logarithmic scale Sierpinski self-similar sequence.

7, 8, 6, 7, 6, 8, 5, 6, 5, 7, 5, 6, 5, 8, 4, 5, 4, 6, 4, 5, 4, 7, 4, 5, 4, 6, 4, 5, 4, 8, 3, 4, 3, 5, 3, 4, 3, 6, 3, 4, 3, 5, 3, 4, 3, 7, 3, 4, 3, 5, 3, 4, 3, 6, 3, 4, 3, 5, 3, 4, 3, 8, 2, 3, 2, 4, 2, 3, 2, 5, 2, 3, 2, 4, 2, 3, 2, 6, 2, 3, 2, 4, 2, 3, 2, 5, 2, 3, 2, 4, 2, 3, 2, 7, 2, 3, 2, 4, 2, 3, 2, 5, 2, 3, 2

Offset

3,1

Links

G. C. Greubel, Table of n, a(n) for n = 3..5000

Formula

With p(n, k) = log(n!) / log((n-floor(n/2^k))!) then a(n) = Sum_{k=1..8} floor(p(n, k)/p(n-1, k)) for n>2.

Mathematica

p[n_, k_]:= Sum[Log[i], {i, 1, n}]/Sum[Log[i], {i, 1, n-Floor[n/2^k]}]; f[n_]=Sum[Floor[p[n, k]/p[n-1, k]], {k, 1, 8}]; Table[f[n], {n, 3, 100}]

Crossrefs

Cf. A088487 (self-similar Sierpinski type chaotic sequence with rate three at eight levels), A088488 (self-similar Cantor type sequence with eight levels).

Sequence in context: A333566 A093827 A245736 * A244263 A288023 A020506

Adjacent sequences: A088657 A088658 A088659 * A088661 A088662 A088663

Keyword

nonn

Author

Roger L. Bagula, Nov 21 2003

Status

approved