A128999 - OEIS

A128999

Start with an integer (in this case 1). First, add 5 or 6 if the integer is odd or even, respectively. Then divide by 2.

1, 3, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5

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OFFSET

1,2

COMMENTS

Note that any a(1) <= 5 converges to 5 and any a(1) >= 6 converges to 6.

Decimal expansion of 1211/900. - Elmo R. Oliveira, May 05 2024

LINKS

Table of n, a(n) for n=1..105.

Tanya Khovanova, Arithmetic Progression.

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

FORMULA

a(n) = [a(n-1) + b]/d, if a(n) even = [a(n-1) + c]/d, if a(n) odd (starting a(1)=1 with b=5, c=6, d=2).