



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



