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A131774 2*A065941 - A049310. 6

%I #7 Mar 04 2022 01:25:42

%S 1,2,1,1,2,1,2,0,4,1,1,2,3,4,1,2,-1,8,2,6,1,1,2,4,8,7,6,1,2,-2,12,0,

%T 20,6,8,1,1,2,4,12,15,20,13,8,1,2,-3,16,-6,42,9,40,12,10,1

%N 2*A065941 - A049310.

%C Row sums = the Lucas numbers, A000032, starting (1, 3, 4, 7, 11, ...). Generally, N*A065941 - (N-1)*A049310 = triangles with row sums = Fibonacci-like sequences starting (1, (N+1), (N+1+1), ...). With N = 2, row sums of the triangle A131774 = (1, 3, 4, 7, ...).

%F 2*A065941 - A049310 as infinite lower triangular matrices.

%e First few rows of the triangle:

%e 1;

%e 2, 1;

%e 1, 2, 1;

%e 2, 0, 4, 1;

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

%e 2, -1, 8, 2, 6, 1;

%e 1, 2, 4, 8, 7, 6, 1;

%e ...

%Y Cf. A065941, A049310, A000032, A131775, A131776, A131777, A131778.

%K tabl,sign

%O 1,2

%A _Gary W. Adamson_, Jul 14 2007

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Last modified April 18 20:26 EDT 2024. Contains 371781 sequences. (Running on oeis4.)