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A088660 A logarithmic scale Sierpinski self similar sequence. 3
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; internal format)
OFFSET

3,1

FORMULA

p[n_, k_]=Sum[Log[i], {i, 1, n}]/Sum[Log[i], {i, 1, n-Floor[n/2^k]}] a(n) = Sum[Floor[p[n, k]/p[n-1, k]], {k, 1, 8}]

MATHEMATICA

p[n_, k_]=Sum[Log[i], {i, 1, n}]/Sum[Log[i], {i, 1, n-Floor[n/2^k]}] digits=200 f[n_]=Sum[Floor[p[n, k]/p[n-1, k]], {k, 1, 8}] at=Table[f[n], {n, 3, digits}]

CROSSREFS

Cf. A088487 A self similar Sierpinski type chaotic sequence with rate three at eight levels. A088488 A self similar Cantor type sequence with eight levels.

Sequence in context: A181624 A143300 A093827 * A020506 A193345 A197822

Adjacent sequences:  A088657 A088658 A088659 * A088661 A088662 A088663

KEYWORD

nonn,uned

AUTHOR

Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Nov 21 2003

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Last modified February 16 05:55 EST 2012. Contains 205860 sequences.