

A261895


Decimal expansion of the lower limit of A162795(i)/i^2.


1




OFFSET

0,1


COMMENTS

Sequence suggested by Omar E. Pol.
Similar to the constant mentioned in the ApplegatePolSloane article, Section 5, the fractallike 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), 157191


LINKS

Table of n, a(n) for n=0..9.
David Applegate, Omar E. Pol and N. J. A. Sloane, The Toothpick Sequence and Other Sequences from Cellular Automata, Congressus Numerantium, Vol. 206 (2010), 157191. [There is a typo in Theorem 6: (13) should read u(n) = 4.3^(wt(n1)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]
N. J. A. Sloane, Catalog of Toothpick and Cellular Automata Sequences in the OEIS


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

Cf. A139250, A147562, A162795, A170927, A195853, A260239, A261313, A261896.
Sequence in context: A176989 A250303 A301477 * A112573 A233740 A266595
Adjacent sequences: A261892 A261893 A261894 * A261896 A261897 A261898


KEYWORD

nonn,cons,hard,more


AUTHOR

Robert Price, Sep 05 2015


STATUS

approved



