|
|
A322426
|
|
Array read by downwards antidiagonals: A(n, k) is the k-th term of a "Look to the left" sequence starting with 1,2,...,n (see A293630).
|
|
5
|
|
|
1, 2, 1, 1, 2, 1, 1, 3, 2, 1, 1, 1, 3, 2, 1, 2, 2, 4, 3, 2, 1, 1, 1, 1, 4, 3, 2, 1, 1, 2, 2, 5, 4, 3, 2, 1, 2, 1, 3, 1, 5, 4, 3, 2, 1, 1, 2, 1, 2, 6, 5, 4, 3, 2, 1, 1, 1, 2, 3, 1, 6, 5, 4, 3, 2, 1, 1, 2, 3, 4, 2, 7, 6, 5, 4, 3, 2, 1, 2, 3, 1, 1, 3, 1, 7, 6, 5
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
2,2
|
|
LINKS
|
|
|
FORMULA
|
If k <= n, A(n, k) = k.
|
|
EXAMPLE
|
| n\k | 1 2 3 4 5 6 7 8 9 10 11 12 13 ...
|-----|-----------------------------------------------------------
| 2 | 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, ...
| 3 | 1, 2, 3, 1, 2, 1, 2, 1, 2, 1, 2, 3, 1, ...
| 4 | 1, 2, 3, 4, 1, 2, 3, 1, 2, 3, 1, 2, 3, ...
| 5 | 1, 2, 3, 4, 5, 1, 2, 3, 4, 1, 2, 3, 4, ...
| 6 | 1, 2, 3, 4, 5, 6, 1, 2, 3, 4, 5, 1, 2, ...
| 7 | 1, 2, 3, 4, 5, 6, 7, 1, 2, 3, 4, 5, 6, ...
| 8 | 1, 2, 3, 4, 5, 6, 7, 8, 1, 2, 3, 4, 5, ...
| ... |
|
|
PROG
|
(PARI) row(n, k) = my(v=vector(n, i, i), w); while(#v<k, w=vector(#v-1, i, v[i]); for(y=1, v[#v], v=concat(v, w))); vector(k, i, v[i])
first(n, k) = my(v, m=matrix(0, k)); for(x=1, n, v=row(x+1, k); m=concat(m, v)); m
|
|
CROSSREFS
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|