A160411 Number of cells turned "ON" at n-th stage of A160117.

1, 8, 4, 28, 8, 52, 12, 76, 16, 100, 20, 124, 24, 148, 28, 172, 32, 196, 36, 220, 40, 244, 44, 268, 48, 292, 52, 316, 56, 340, 60, 364, 64, 388, 68, 412, 72, 436, 76, 460, 80, 484, 84, 508, 88, 532, 92, 556, 96

Offset

1,2

Comments

First differences of A160117.

It appears that one of the bisections is A008574. - Omar E. Pol, Sep 20 2011

Links

Paolo Xausa, Table of n, a(n) for n = 1..10000

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

Index entries for sequences related to cellular automata

Index entries for linear recurrences with constant coefficients, signature (0,2,0,-1).

Formula

G.f.: x*(x^2+1)*(4*x^3 + x^2 + 8*x + 1) / ((x-1)^2*(x+1)^2). - Colin Barker, Mar 04 2013

From Colin Barker, Apr 06 2013: (Start)

a(n) = -11 - 9*(-1)^n + (7 + 5*(-1)^n)*n for n > 2.

a(n) = 2*a(n-2) - a(n-4) for n > 6. (End)

Mathematica

LinearRecurrence[{0, 2, 0, -1}, {1, 8, 4, 28, 8, 52}, 100] (* Paolo Xausa, Sep 01 2023 *)

Crossrefs

Cf. A139251, A160117, A160411, A160413, A160415.

Sequence in context: A173855 A143368 A160415 * A033473 A238163 A213773

Adjacent sequences: A160408 A160409 A160410 * A160412 A160413 A160414

Keyword

nonn,easy

Author

Omar E. Pol, Jun 13 2009

Extensions

a(10)-a(27) from Omar E. Pol, Mar 26 2011

More terms from Colin Barker, Apr 06 2013

Status

approved