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A282814 Table read by antidiagonals (n > 0, k > 0): T(n, k) is the length of the loop in Conway's subprime Fibonacci sequence with starting values of n and k. 4

%I #20 Nov 04 2017 17:57:00

%S 18,18,18,18,1,18,136,18,18,136,18,18,1,18,136,18,18,18,136,18,18,136,

%T 18,136,1,18,136,18,18,18,1,18,136,1,18,18,136,18,18,136,1,18,18,136,

%U 18,18,18,18,18,18,18,136,136,136,18,18,136,1,18,18,1,18,18

%N Table read by antidiagonals (n > 0, k > 0): T(n, k) is the length of the loop in Conway's subprime Fibonacci sequence with starting values of n and k.

%C All terms are in A214897, which is conjectured to be finite. - _Peter Kagey_, Nov 04 2017

%H Peter Kagey, <a href="/A282814/b282814.txt">Table of n, a(n) for n = 1..10000</a>

%e T(1, 1) = 18 because 18 is the loop length in Conway's subprime Fibonacci sequence when starting with 1, 1 (A214674). (i.e., A214674(n) = A214674(n + 18) for n >= 38 = A282813(1, 1).)

%e Upper-left corner of table:

%e 18 18 18 136 136 18 18 18 18 18 ...

%e 18 1 18 18 18 136 18 136 136 18 ...

%e 18 18 1 136 18 1 18 136 18 18 ...

%e 136 18 18 1 136 18 136 18 18 136 ...

%e 18 18 136 18 1 18 18 18 136 1 ...

%e 18 18 1 136 18 1 18 18 18 18 ...

%e 136 18 18 18 18 18 1 136 18 18 ...

%e 18 18 18 18 136 18 18 1 18 18 ...

%e 136 18 1 18 18 18 136 18 1 136 ...

%e 18 136 18 136 1 18 136 18 18 1 ...

%e ...

%Y Cf. A214674, A214897, A282813, A282814.

%K nonn,tabl

%O 1,1

%A _Peter Kagey_, Feb 21 2017

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Last modified April 19 21:09 EDT 2024. Contains 371798 sequences. (Running on oeis4.)