|
|
A345018
|
|
For each n, append to the sequence n^2 consecutive integers, starting from n.
|
|
1
|
|
|
1, 2, 3, 4, 5, 3, 4, 5, 6, 7, 8, 9, 10, 11, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,2
|
|
COMMENTS
|
Irregular triangle read by rows T(n,k) in which row n lists the integers from n to n + n^2 - 1, with n >= 1.
|
|
LINKS
|
|
|
FORMULA
|
T(n,k) = n + k - 1, with n >= 1 and 1 <= k <= n^2.
|
|
EXAMPLE
|
Written as an irregular triangle T(n,k) the sequence begins:
n\k| 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 ...
---+---------------------------------------------------------------
1 | 1;
2 | 2, 3, 4, 5;
3 | 3, 4, 5, 6, 7, 8, 9, 10, 11;
4 | 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19;
...
|
|
MATHEMATICA
|
Table[Range[n, n^2+n-1], {n, 6}] (* Paolo Xausa, Sep 05 2023 *)
|
|
PROG
|
(PARI) row(n) = vector(n^2, k, n+k-1); \\ Michel Marcus, Jun 08 2021
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,tabf
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|