OFFSET
1,2
COMMENTS
Every positive integer occurs exactly once, so that as a sequence, this is a permutation of the positive integers.
LINKS
Clark Kimberling, Antidiagonals n=1..60, flattened
FORMULA
T(n,m) = Sum_{k=1...[n + m*n/e]} [1 - e + n*(e + m)/k], where [ ]=floor.
EXAMPLE
Northwest corner:
1 2 3 5 6 8
4 7 11 16 19 25
9 15 22 29 38 46
14 24 34 45 57 70
20 32 48 62 79 95
27 43 61 81 101 122
35 54 76 100 125 152
42 67 92 120 151 181
The numbers k*(r+h), approximately:
(for k=1): 2.718 3.718 4.718 ...
(for k=2): 5.436 7.436 9.436 ...
(for k=3): 8.154 11.854 14.154 ...
Replacing each by its rank gives
1 2 3
4 7 14
9 15 22
MATHEMATICA
CROSSREFS
KEYWORD
AUTHOR
Clark Kimberling, Oct 05 2017
STATUS
approved