A088660 - OEIS

%I #14 Mar 20 2019 09:04:16

%S 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,

%T 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,

%U 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

%N A logarithmic scale Sierpinski self-similar sequence.

%H G. C. Greubel, <a href="/A088660/b088660.txt">Table of n, a(n) for n = 3..5000</a>

%F 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.

%t 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}]

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

%K nonn

%O 3,1

%A _Roger L. Bagula_, Nov 21 2003