|
| |
|
|
A077605
|
|
Left summing matrix, S.
|
|
1
| |
|
|
1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0
(list; table; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,1
|
|
|
COMMENTS
| If v is a sequence written as a column vector, then Sv is the sequence of partial sums of v. The inverse of S is the left differencing matrix; the transpose of S is the right summing matrix.
|
|
|
LINKS
| C. Kimberling, Matrix Transformations of Integer Sequences, J. Integer Seqs., Vol. 6, 2003.
|
|
|
FORMULA
| S(n, k)=1 if 1<=k<=n, else S(n, k)=0.
|
|
|
EXAMPLE
| Northwest corner:
1 0 0 0 0
1 1 0 0 0
1 1 1 0 0
1 1 1 1 0
1 1 1 1 1
|
|
|
CROSSREFS
| Cf. A077606.
Sequence in context: A014282 A014555 A145575 * A014672 A015335 A014906
Adjacent sequences: A077602 A077603 A077604 * A077606 A077607 A077608
|
|
|
KEYWORD
| easy,nonn,tabl
|
|
|
AUTHOR
| Clark Kimberling (ck6(AT)evansville.edu), Nov 11 2002
|
| |
|
|
