|
|
A261895
|
|
Decimal expansion of the lower limit of A162795(i)/i^2.
|
|
1
|
|
|
|
OFFSET
|
0,1
|
|
COMMENTS
|
Similar to the constant mentioned in the Applegate-Pol-Sloane article, Section 5, the fractal-like structure. It is also mentioned in A139250 and A170927.
It appears that this sequence is a quarter of A261313 and half of A195853.
|
|
REFERENCES
|
D. Applegate, Omar E. Pol and N. J. A. Sloane, The Toothpick Sequence and Other Sequences from Cellular Automata, Congressus Numerantium, Vol. 206 (2010), 157-191
|
|
LINKS
|
|
|
EXAMPLE
|
0.2256529142...
|
|
MATHEMATICA
|
T = 1; t[0] = 0; t[1] = 1; lst = {1};
Do[twon = 2^n; Tmin = 1; imin = 1;
Do[If[i == twon, t[i] = twon,
t[i] = 2*t[i - twon] + t[i - twon + 1];
If[OddQ[i], T = T + t[i];
Ttest = T/(i*i)];
If[ Ttest<imin, Tmin=Ttest; imin=i ]],
{i, twon, 2*twon - 1}];
AppendTo[lst, imin],
{n, 1, 15}];
lst
N[Tmin, 10]
|
|
CROSSREFS
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|