The Tribonacci Sequence (the one that start
with three 1’s and no zeros)
Tribonacci numbers: a(0) = a(1) = a(2) =
1 and when n>2 then
a(n) = a(n1) + a(n2) + a(n3).
999,998,999,999,999,997,999,999,999,997,999,999,999,997,
999,999,999,997,999,999,999,997,999,999,999,997,999,999, 999,997,999,999,999,997,999,999,999,997,999,999,999,997, 999,999,999,998,000,001
1/9999989999999999979999999999979999999999979999999
999979999999999979999999999979999999999979999999999 97999999999997999999999997999999999998000001 =
0.
000000 000000 000000 000000 000000 000000 000000 000000 000000 000000 000000 000000 000000 000000 000000 000000 000000 000000 000000 000000 000000 000000 000000 000001 000001 000001 000003 000005 000009 000017 000031 000057 000105 000193 000355 000653 001201 002209 004063 007473 013745 025281 046499 085525 157305 289329 532159 …
Terms are written in six digit strings.
Terms are accurate up to 532,159, which
is the 23^{rd} nonzero
term.
Compare with OEIS sequence A000213.

This is good news. It is the first Fibonacci like sequence that starts with
all ones that I have found a Sequence Number for.
all ones that I have found a Sequence Number for.
David
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