Today I want to put together Sequence
number for the 1, 1, 1 Tribonacci Sequence and the 1, 0, 1, 1 Tetranacci
Sequence. They produce some intriguing results.
The 1, 1, 1 Tribonacci Sequence: a(0) =
a(1) = 1, a(2) = 1, and when n>2 then a(n) = a(n1) – a(n2) + a(n3).
The Sequence Number is: 909
(I can use a shorter Sequence Number
because all I need for this sequence is single digit strings.)
1/909 =
0.
0 0 1 1 0 0 1 1 0 0 1 1 0 0 1 1 0 0 1 1 0 0 1 1 …
This is a repeating decimal with a period
of four.
All term are accurate up to infinity.
Compare with OEIS sequence A021913.

The 1, 0, 1, 1 Tetranacci Sequence: a(0)
= a(1) = a(2) = 0, a(3) = 1, and when n>3 then a(n) = a(n1) – a(n3) +
a(n4).
The Sequence Number is: 9009
1/9009 =
0.
0 0 0 1 1 1 0 0 0 1 1 1 0 0 0 1 1 1 0 0 0 1 1 1 …
This is a repeating decimal with a period
of 6.
All terms are accurate up to infinity!
This sequence is not listed in the OEIS –
yet.

David
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