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A257319 Numbers n such that the n-th generation of Sawtooth 201 has minimum population in Conway's Game of Life. 0
0, 1840, 88320, 4152880, 195187200, 9173800240, 431168613120, 20264924818480, 952451466470400, 44765218924110640, 2103965289433201920, 98886368603360492080, 4647659324357943129600, 218439988244823327093040, 10266679447506696373374720 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..15.

LifeWiki, Sawtooth 201

Index entries for linear recurrences with constant coefficients, signature (48,-47).

FORMULA

a(n) = 47*a(n-1) + 1840.

a(n) = (47^(n-1) - 1)*40. - Bill Gosper, Apr 25 2015

G.f.: 1840*x^2/((47*x-1)*(x-1)). - Alois P. Heinz, May 03 2015

EXAMPLE

The pattern begins at its minimum population of 201 at generation 0, and first returns to this population at generation 1840.

MATHEMATICA

NestList[(47 # + 1840) &, 0, 100]

LinearRecurrence[{48, -47}, {0, 1840}, 20](* Harvey P. Dale, Sep 19 2017 *)

CROSSREFS

Sequence in context: A238294 A274683 A231079 * A287172 A243482 A252214

Adjacent sequences:  A257316 A257317 A257318 * A257320 A257321 A257322

KEYWORD

nonn

AUTHOR

Adam P. Goucher, Apr 20 2015

STATUS

approved

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Last modified January 26 14:08 EST 2020. Contains 331280 sequences. (Running on oeis4.)