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A261895 Decimal expansion of the lower limit of A162795(i)/i^2. 1
2, 2, 5, 6, 5, 2, 9, 1, 4, 2 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
0,1
COMMENTS
Sequence suggested by Omar E. Pol.
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
David 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. [There is a typo in Theorem 6: (13) should read u(n) = 4.3^(wt(n-1)-1) for n >= 2.], which is also available at arXiv:1004.3036v2, [math.CO], 2010.
Steven R. Finch, Toothpicks and Live Cells, July 21, 2015. [Cached copy, with permission of the author]
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
Sequence in context: A250303 A368554 A301477 * A112573 A233740 A266595
KEYWORD
nonn,cons,hard,more
AUTHOR
Robert Price, Sep 05 2015
STATUS
approved

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Last modified March 29 08:13 EDT 2024. Contains 371265 sequences. (Running on oeis4.)