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A181631 Triangle by rows, number of leading 1's in Fibonacci Maximal notation. 3

%I #5 Feb 06 2023 12:47:49

%S 1,1,2,1,2,3,1,1,2,3,4,1,1,1,2,2,3,4,5,1,1,1,1,1,2,2,2,3,3,4,5,6

%N Triangle by rows, number of leading 1's in Fibonacci Maximal notation.

%C Row sums = A001911: (1, 3, 6, 11, 19, 32,...).

%C A181630 = number of 1's in Fibonacci Maximal notation (which has headings of (...8, 5, 3, 2, 1) filling entries from the right to left; as opposed to Fibonacci Minimal which starts from the left. For example, 8 in Maximal = 1011 = (5 + 2 + 1) whereas Maximal = (1100) = (5 + 3).

%C Rows have (1, 2, 3, 5, 8,...) terms.

%e First few rows of the triangle =

%e 1;

%e 1, 2;

%e 1, 2, 3;

%e 1, 1, 2, 3, 4;

%e 1, 1, 1, 2, 2, 3, 4, 5;

%e 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 5, 6;

%e ...

%e Example: a(14) 1 since 14 in Fibonacci Maximal = 10111.

%Y Cf. A001911, A181630.

%K nonn,tabf,more

%O 1,3

%A _Gary W. Adamson_, Nov 02 2010

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Last modified May 27 17:52 EDT 2024. Contains 372880 sequences. (Running on oeis4.)