A135537 - OEIS

A135537

Period 4: repeat [7, 5, 2, 4].

7, 5, 2, 4, 7, 5, 2, 4, 7, 5, 2, 4, 7, 5, 2, 4, 7, 5, 2, 4, 7, 5, 2, 4, 7, 5, 2, 4, 7, 5, 2, 4, 7, 5, 2, 4, 7, 5, 2, 4, 7, 5, 2, 4, 7, 5, 2, 4, 7, 5, 2, 4, 7, 5, 2, 4, 7, 5, 2, 4, 7, 5, 2, 4, 7, 5, 2, 4, 7, 5, 2, 4, 7, 5, 2, 4, 7, 5, 2, 4, 7, 5, 2, 4, 7, 5

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OFFSET

0,1

LINKS

Table of n, a(n) for n=0..85.

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

FORMULA

a(n) = A135536(n) mod 9.

O.g.f.: ((x+5)/(x^2+1)+9*(1-x))/2. a(n) = ((-1)^floor(n/2) * A010686(n+1) + 9)/2. - R. J. Mathar, Feb 23 2008

From Wesley Ivan Hurt, Jul 08 2016: (Start)

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

a(n) = A021408(n) for n>1. (End)