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A269961 Decimal representation of the n-th iteration of Conway’s Game of Life starting with two adjacent two-way infinite rows of ON cells. 0
3, 9, 63, 129, 903, 2193, 15351, 32769, 229383, 5577073, 3899511, 8421633, 58951431, 143167761, 1002174327, 2147483649, 15032385543, 36507222033, 25550554231, 551903297793, 3863323084551, 9382356062481, 65676492437367, 140739635904513, 985177451331591, 2392573810376721, 16748016672637047, 36170086427459841, 25319060499221887, 614891469266817297, 4304240284867721079, 9223372036854775809 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Empirical observations:

The sequence starting with a single row of ON cells is A266382.

Every 2^n-1 step of iteration generates the biggest gap (g) between two rows.

The prime factors for numbers in this sequence up to the 31st term are: 3,7,11,17,19,31,43,257,331,5419,65537,715827883,77158673929.

LINKS

Table of n, a(n) for n=0..31.

EXAMPLE

0th iteration = 11 = 3, 1st iteration = 1001 = 9, 2nd iteration = 111111 = 63, 3rd iteration = 10000001 = 129, 4th iteration = 1110000111 = 903, 5th iteration = 100010010001, 6th iteration = 11101111110111......

CROSSREFS

Cf. A266382.

Sequence in context: A243425 A018513 A143761 * A064703 A085435 A121696

Adjacent sequences:  A269958 A269959 A269960 * A269962 A269963 A269964

KEYWORD

nonn

AUTHOR

Brook Estifanos, Mar 08 2016

STATUS

approved

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Last modified July 29 08:46 EDT 2021. Contains 346340 sequences. (Running on oeis4.)