Hexagonal Fibonacci
Neil Fernandez
primeness at borve.demon.co.uk
Fri Jun 18 10:50:55 CEST 2004
In message <017001c454f3$790e8f80$93b9763d at computer>, y.kohmoto
<zbi74583 at boat.zero.ad.jp> writes
> Hello, seqfans.
> I considerd the same kind of generalized Fibonacci as A094767
<snip>
> %I A000001
> %S A000001 1, 1, 2, 4, 7, 12, 20, 34, 55, 90, 148, 240, 394, 638
> %N A000001 A hexagonal spiral Fibonacci sequence
<snip>
> %C A000001 12 20 34
> %C A000001 7 1 1 55
> %C A000001 638 4 2 90
> %C A000001 394 240 148
<snip>
> %I A000002
> %S A000002 0, 1, 1, 2, 3, 5, 8, 14, 23, 38, 63, 102,168, 272
> %N A000002 A hexagonal spiral Fibonacci sequence
<snip>
> %C A000002 5 8 14
> %C A000002 3 0 1 23
> %C A000002 272 2 1 38
> %C A000002 168 102 63
Hi Yasutoshi,
did you also see:
%N A078510 Spiro-Fibonacci numbers, a(n) = sum of two previous terms
that are nearest when terms arranged in a spiral.
%N A079421 Spiro-Fibonacci differences, a(n) = difference of two
previous terms that are nearest when terms arranged in a spiral.
%N A079422 a(n) = number of 1's in the first n^2 Spiro-Fibonacci
differences.
See also my webpage at:
<http://www.borve.demon.co.uk/primeness/spirofib.html>
where the link with cellular automata is clear.
Best regards,
Neil
--
Neil Fernandez
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