A211010 Value on the axis "x" of the endpoint of the structure of A211000 at n-th stage.

0, 1, 2, 3, 4, 3, 2, 3, 4, 3, 2, 3, 4, 3, 2, 3, 4, 3, 2, 3, 4, 3, 2, 3, 4, 3, 2, 3, 4, 3, 2, 3, 4, 3, 2, 3, 4, 3, 2, 3, 4, 3, 2, 3, 4, 3, 2, 3, 4, 3, 2, 3, 4, 3, 2, 3, 4, 3, 2, 3, 4, 3, 2, 3, 4, 3, 2, 3, 4, 3, 2, 3, 4, 3, 2, 3, 4, 3, 2, 3, 4, 3, 2, 3, 4, 3

Offset: 0

Author

Omar E. Pol, Mar 30 2012

Keywords

• nonn
• easy

Comments

For the values on the axis "y" see A211011.

Also [0, 1] together with the absolute values of A131731.

Links

• Paolo Xausa, Table of n, a(n) for n = 0..9999
• Index entries for linear recurrences with constant coefficients, signature (1,-1,1).

Crossrefs

Bisection of A211000.

Cf. A211011 (the y's in A211000).

Cf. A131731, A164358, A210838, A210841.

Cf. A211001, A211002, A211003, A211020, A211021, A211022.

Programs

Mathematica

A211010[nmax_]:=PadRight[{0,1,2,3},nmax+1,{4,3,2,3}];
A211010[100] (* Paolo Xausa, Jan 06 2023 *)

Formula

From Colin Barker, Sep 15 2013: (Start)

a(n) = (6+(-i)^n+i^n)/2 where n > 1, i=sqrt(-1).

a(n) = a(n-1) - a(n-2) + a(n-3) for n > 4.

G.f.: -x*(x+1)*(2*x^2+1) / ((x-1)*(x^2+1)). (End)