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A117501 Triangle generated from an array of generalized Fibonacci-like terms. 1

%I

%S 1,1,1,1,2,2,2,3,3,3,1,4,4,5,5,1,5,5,7,8,8,1,6,6,9,11,13,13,1,7,7,11,

%T 14,18,21,21,1,8,8,13,17,23,29,34,34,1,9,9,15,20,28,37,47,55,55,1,10,

%U 10,17,23,33,45,60,76,89,89

%N Triangle generated from an array of generalized Fibonacci-like terms.

%C Difference terms of the array columns in triangle format becomes A117502.

%F The triangle by rows = antidiagonals of an array in which n-th row is generated by a Fibonacci-like operation: (1, n...then a(k+1) = a(k) + a(k-1)).

%e First few rows of the array are:

%e 1, 1, 2, 3, 5,...

%e 1, 2, 3, 5, 8,...

%e 1, 3, 4, 7, 11,...

%e 1, 4, 5, 9, 14,...

%e 1, 5, 6, 11, 17,...

%e ...

%e First few rows of the triangle are:

%e 1;

%e 1, 1;

%e 1, 2, 2;

%e 1, 3, 3, 3;

%e 1, 4, 4, 5, 5;

%e 1, 5, 5, 7, 8, 8;

%e 1, 6, 6, 9, 11, 13, 13;

%e 1, 7, 7, 11, 14, 18, 21, 21;

%e ...

%Y Cf. A117502, A001595.

%K nonn,tabl

%O 1,5

%A _Gary W. Adamson_, Mar 23 2006

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Last modified April 25 16:59 EDT 2019. Contains 322461 sequences. (Running on oeis4.)