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A282813 Table read by antidiagonals (n > 0, k > 0): T(n, k) is the starting index of the first loop in Conway's subprime Fibonacci sequence with starting values of n and k. 4

%I #13 Feb 21 2017 21:13:24

%S 38,47,37,38,1,46,7,45,36,7,47,37,1,34,6,60,38,33,4,44,34,8,35,5,1,35,

%T 8,59,47,37,2,34,6,3,37,79,7,45,36,7,1,73,32,103,45,24,44,78,58,72,30,

%U 3,3,100,78,35,9,4,74,31,1,43,35,74,35,23,55,108,35,98

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

%H Peter Kagey, <a href="/A282813/b282813.txt">Table of n, a(n) for n = 1..10000</a>

%e T(1, 1) = 38 because 38 is the starting index of the first loop in Conway's subprime Fibonacci sequence when starting with 1, 1 (A214674). (i.e. A214674(n) = A214674(n + k) for n >= 38 = T(1, 1) and k = A282814(1,1).)

%e Upper-left corner of table:

%e 38 37 46 7 6 34 59 79 45 78 ...

%e 47 1 36 34 44 8 37 103 100 35 ...

%e 38 45 1 4 35 3 32 3 74 92 ...

%e 7 37 33 1 6 73 3 35 50 98 ...

%e 47 38 5 34 1 30 43 55 105 3 ...

%e 60 35 2 7 72 1 33 33 45 22 ...

%e 8 37 36 58 31 42 1 103 75 52 ...

%e 47 45 78 74 102 34 32 1 20 61 ...

%e 7 44 4 98 44 73 104 74 1 1 ...

%e 24 9 35 4 2 34 97 21 60 1 ...

%e ...

%Y Cf. A214674, A282812, A282814.

%K nonn,tabl

%O 1,1

%A _Peter Kagey_, Feb 21 2017

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Last modified August 11 19:17 EDT 2024. Contains 375073 sequences. (Running on oeis4.)