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

Author

Omar E. Pol, Jun 13 2009

Keywords

• nonn
• easy

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).

Crossrefs

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

Programs

Mathematica

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

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)

Extensions

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

More terms from Colin Barker, Apr 06 2013