A152835 a(0) = -22; a(n) = n-a(n-1).

-22, 23, -21, 24, -20, 25, -19, 26, -18, 27, -17, 28, -16, 29, -15, 30, -14, 31, -13, 32, -12, 33, -11, 34, -10, 35, -9, 36, -8, 37, -7, 38, -6, 39, -5, 40, -4, 41, -3, 42, -2, 43, -1, 44, 0, 45, 1, 46, 2, 47, 3, 48, 4, 49, 5, 50, 6, 51, 7, 52, 8, 53, 9, 54, 10, 55, 11, 56, 12

Offset: 0

Author

Vladimir Joseph Stephan Orlovsky, Dec 14 2008

Keywords

• sign
• easy

Links

• Colin Barker, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (1,1,-1).

Crossrefs

Cf. A084964, A152832, A152833.

Programs

Magma

[(1-89*(-1)^n+2*n)/4 : n in [0..100]]; // Wesley Ivan Hurt, Oct 28 2014

Maple

A152835:=n->(1-89*(-1)^n+2*n)/4: seq(A152835(n), n=0..100); # Wesley Ivan Hurt, Oct 28 2014

Mathematica

lst={};a=-22;Do[a=n-a;AppendTo[lst,a],{n,0,6!}];lst

PARI

Vec(-(22*x^2-45*x+22)/((x-1)^2*(x+1)) + O(x^100)) \\ Colin Barker, Oct 28 2014

Formula

a(n) = a(n-1)+a(n-2)-a(n-3). G.f.: -(22*x^2-45*x+22) / ((x-1)^2*(x+1)). - Colin Barker, Oct 28 2014

Extensions

Indices added to definition, offset corrected - R. J. Mathar, Jan 08 2009

Name and Mathematica code corrected by Colin Barker, Oct 28 2014