A072175 - OEIS

A072175

a(1)=1, a(2)=2, a(n) = a(n-1) + 1 - 2*sign(a(n-2)) for n>2.

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

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OFFSET

0,2

COMMENTS

The sequence has period 8 except for the first term.

REFERENCES

Marius-F. Danca, Contributions to the Theory of Discontinuous Dynamical System, Thesis 2002, University Babes-Bolyai, Cluj, Romania, page 5

LINKS

Table of n, a(n) for n=0..104.

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

FORMULA

a(n) = a(n-1)-a(n-2)+a(n-3)-a(n-4)+a(n-5)-a(n-6)+a(n-7). - Wesley Ivan Hurt, May 26 2024