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A088660 A logarithmic scale Sierpinski self-similar sequence. 4
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 (list; graph; refs; listen; history; text; internal format)
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: A242816 A093827 A245736 * A244263 A288023 A020506

Adjacent sequences:  A088657 A088658 A088659 * A088661 A088662 A088663

KEYWORD

nonn

AUTHOR

Roger L. Bagula, Nov 21 2003

STATUS

approved

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Last modified July 17 23:21 EDT 2019. Contains 325109 sequences. (Running on oeis4.)