OFFSET
1,5
COMMENTS
FORMULA
T(n, k) <= A373778(n, k).
Conjecture: T(n, n-2) = ceiling(n*(n-1)/2), for n > 6. This is expected because this triangle does asymptotically approximate the factorial numbers from the left to the right and Pascal's triangle from right to the left.
EXAMPLE
The triangle begins:
n| k: 1| 2| 3| 4| 5| 6| 7| 8| 9
====================================
[1] 1
[2] 1, 1
[3] 1, 2, 1
[4] 1, 2, 4, 1
[5] 1, 2, 6, 5, 1
[6] 1, 2, 6, 12, 6, 1
[7] 1, 2, 6, 17, 21, 7, 1
[8] 1, 2, 6, 22, 41, 28, 8, 1
[9] 1, 2, 6, 24, 69, 73, 36, 9, 1
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Thomas Scheuerle, Jun 22 2024
STATUS
approved