A144257 - OEIS

A144257

Weight array of A086270.

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.

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:

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

CROSSREFS

Cf. A086270.

Cf. A000124, A050407, A001519. - Gary W. Adamson, Feb 18 2010

Sequence in context: A098862 A003988 A185914 * A257232 A321980 A208544

Adjacent sequences: A144254 A144255 A144256 * A144258 A144259 A144260

KEYWORD

nonn,tabl

AUTHOR

Clark Kimberling, Sep 16 2008

STATUS

approved