A255264 Total number of ON cells in the "Ulam-Warburton" two-dimensional cellular automaton of A147562 after A048645(n) generations.

1, 5, 9, 21, 25, 37, 85, 89, 101, 149, 341, 345, 357, 405, 597, 1365, 1369, 1381, 1429, 1621, 2389, 5461, 5465, 5477, 5525, 5717, 6485, 9557, 21845, 21849, 21861, 21909, 22101, 22869, 25941, 38229, 87381, 87385, 87397, 87445, 87637

Offset

1,2

Comments

It appears that these are the terms of A147562, A162795, A169707, A255366, A256250, A256260, whose indices have binary weight 1 or 2.

Links

Table of n, a(n) for n=1..41.

N. J. A. Sloane, Catalog of Toothpick and Cellular Automata Sequences in the OEIS

Index entries for sequences related to cellular automata

Formula

a(n) = A147562(A048645(n)).

Conjecture 1: a(n) = A162795(A048645(n)).

Conjecture 2: a(n) = A169707(A048645(n)).

Conjecture 3: a(n) = A255366(A048645(n)).

Conjecture 4: a(n) = A256250(A048645(n)).

Conjecture 5: a(n) = A256260(A048645(n)).

a(n) = A032925(A209492(n-1)) (conjectured). - Jon Maiga, Dec 17 2021

Example

Also, written as an irregular triangle in which row lengths are the terms of A028310 the sequence begins:
      1;
      5;
      9,    21;
     25,    37,    85;
     89,   101,   149,   341;
    345,   357,   405,   597,  1365;
   1369,  1381,  1429,  1621,  2389,  5461;
   5465,  5477,  5525,  5717,  6485,  9557, 21845;
  21849, 21861, 21909, 22101, 22869, 25941, 38229, 87381;
  ...
Right border gives the positive terms of A002450.
It appears that the second leading diagonal gives the odd terms of A206374.

Crossrefs

Cf. A002450, A028310, A032925, A048645, A075897, A139250, A147562, A162795, A169707, A206374, A209492, A255263, A255366, A256250, A256260.

Sequence in context: A256250 A256138 A246335 * A321170 A328407 A147407

Adjacent sequences: A255261 A255262 A255263 * A255265 A255266 A255267

Keyword

nonn,tabf,look

Author

Omar E. Pol, Feb 19 2015

Status

approved