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A144257 Weight array of A086270. 4

%I

%S 1,2,0,3,1,0,4,2,1,0,5,3,2,1,0,6,4,3,2,1,0,7,5,4,3,2,1,0,8,6,5,4,3,2,

%T 1,0,9,7,6,5,4,3,2,1,0,10,8,7,6,5,4,3,2,1,0,11,9,8,7,6,5,4,3,2,1,0,12,

%U 10,9,8,7,6,5,4,3,2,1,0,13,11,10,9,8,7,6,5,4,3,2,1,0,14,12,11,10,9,8,7,6,5

%N Weight array of A086270.

%C For the definition of weight array, see A144112.

%C Contribution from _Gary W. Adamson_, Feb 18 2010: (Start)

%C Identical to an infinite lower triangular matrix with (1,2,3,...) in every

%C column but the leftmost column shifted one row upwards, giving:

%C 1;

%C 2, 0;

%C 3, 1, 0;

%C 4, 2, 1, 0;

%C 5, 3, 2, 1, 0;

%C ...

%C Let the triangle = M. Row sums = A000124; M * [1,2,3,...] = A050407

%C starting with offset 3: (1, 2, 5, 11, 21, 36,...); and Lim_{n->inf} M^n =

%C the odd indexed Fibonacci numbers, A001519: (1, 2, 5, 13,...). (End)

%F Row 1 = A000027. All subsequent rows are 0 followed by A000027.

%e Northwest corner:

%e 1 2 3 4 5 6 7 8 9

%e 0 1 2 3 4 5 6 7 8

%e 0 1 2 3 4 5 6 7 8

%e 0 1 2 3 4 5 6 7 8

%e 0 1 2 3 4 5 6 7 8

%Y Cf. A086270.

%Y Cf. A000124, A050407, A001519 [From _Gary W. Adamson_, Feb 18 2010]

%K nonn,tabl

%O 1,2

%A _Clark Kimberling_, Sep 16 2008

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Last modified February 22 07:43 EST 2018. Contains 299447 sequences. (Running on oeis4.)