|
| |
| |
|
|
|
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; internal format)
|
|
|
|
OFFSET
| 1,2
|
|
|
COMMENTS
| For the definition of weight array, see A144112.
Contribution from Gary W. Adamson (qntmpkt(AT)yahoo.com), 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)
|
|
|
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 (qntmpkt(AT)yahoo.com), Feb 18 2010]
Sequence in context: A098862 A003988 A185914 * A074650 A202064 A144955
Adjacent sequences: A144254 A144255 A144256 * A144258 A144259 A144260
|
|
|
KEYWORD
| nonn,tabl
|
|
|
AUTHOR
| Clark Kimberling (ck6(AT)evansville.edu), Sep 16 2008
|
| |
|
|
