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A144257 Weight array of A086270. 4
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, 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, 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 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

For the definition of weight array, see A144112.

Contribution from Gary W. Adamson, Feb 18 2010: (Start)

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

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

1;

2, 0;

3, 1, 0;

4, 2, 1, 0;

5, 3, 2, 1, 0;

...

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

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

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

LINKS

Table of n, a(n) for n=1..100.

FORMULA

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

EXAMPLE

Northwest corner:

1 2 3 4 5 6 7 8 9

0 1 2 3 4 5 6 7 8

0 1 2 3 4 5 6 7 8

0 1 2 3 4 5 6 7 8

0 1 2 3 4 5 6 7 8

CROSSREFS

Cf. A086270.

Cf. A000124, A050407, A001519 [From Gary W. Adamson, Feb 18 2010]

Sequence in context: A098862 A003988 A185914 * A257232 A208544 A208535

Adjacent sequences:  A144254 A144255 A144256 * A144258 A144259 A144260

KEYWORD

nonn,tabl

AUTHOR

Clark Kimberling, Sep 16 2008

STATUS

approved

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Last modified December 17 04:09 EST 2017. Contains 296096 sequences.