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A131774 2*A065941 - A049310. +0
6
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, 20, 6, 8, 1, 1, 2, 4, 12, 15, 20, 13, 8, 1, 2, -3, 16, -6, 42, 9, 40, 12, 10, 1 (list; table; graph; listen)
OFFSET

1,2

COMMENT

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,...).

FORMULA

2*A065941 - A049310 as infinite lower triangular matrices.

EXAMPLE

First few rows of the triangle are:

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;

...

CROSSREFS

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

Sequence in context: A057856 A117939 A105522 this_sequence A078316 A055443 A003842

Adjacent sequences: A131771 A131772 A131773 this_sequence A131775 A131776 A131777

KEYWORD

tabl,sign

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Jul 14 2007

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Last modified December 13 23:45 EST 2009. Contains 170824 sequences.


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