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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
Paolo Xausa, Table of n, a(n) for n = 1..10416 (rows 1..31 of the triangle, flattened)
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
Column 1: A000027.
Right border: A028387.
Row lengths: A000290.
Row sums: A255499.
Sequence in context: A279850 A117607 A215092 * A309079 A194551 A212644
KEYWORD
nonn,tabf
AUTHOR
Paolo Xausa, Jun 05 2021
STATUS
approved

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Last modified March 2 09:28 EST 2024. Contains 370461 sequences. (Running on oeis4.)