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 - 1/e + n*(1/e + m)/k], where [ ]=floor.
EXAMPLE
Northwest corner:
1 4 8 13 17 22
2 10 19 29 40 52
3 16 32 48 65 82
5 23 44 68 93 118
6 30 58 89 120 153
7 37 72 108 149 189
9 46 87 132 178 228
The numbers k*(1/e+h), approximately:
(for k=1): 0.367 1.367 2.3667 ...
(for k=2): 0.735 2.735 4.735 ...
(for k=3): 1.103 4.103 7.103 ...
Replacing each by its rank gives
1 4 8
2 10 19
3 16 32
MATHEMATICA
CROSSREFS
KEYWORD
AUTHOR
Clark Kimberling, Oct 05 2017
STATUS
approved