OFFSET
1,1
COMMENTS
FORMULA
EXAMPLE
The irregular triangle T(n, j) begins:
n, z(n) \ j 1 2 3 4 5 6 7 8 9 10 ...
--------------------------------------------------------------------------
1, 5: 2
2, 8: 1
3, 9: 3
4, 10: 1 3 4
5, 13: 2 1
6, 15: 6
7, 16: 2 2 4 6
8, 17: 1 3 5 4
9, 18: 3 6
10, 20: 2 3 1 1 4 2 6 7 6 8
11, 24: 3
12, 25: 1 3 5 4 8 2 10
13, 26: 1 4 2 3 7 9 5
14, 27: 9
15, 29: 3 2 4 1 8 9 7 10
16, 30: 3 9 12
17, 32: 4 2 6 4 2 10 8 12 6
...
T(7, 3) = 4 because the corresponding triangle has sides (X(7)_3, Y(7)_3, Z(7)_3) = (sqrt(x(7)_3), sqrt(x(7)_3), sqrt(z(7))), with x(7)_3 = A336885(7, 2*3-1) = 5, y(7)_3 = A336885(7, 2*3) = 13, z(7) = A334818(7) = 16, with area A(7)_3 = T(7, 3) = (1/4)*sqrt(2*(16*5 + 16*13 + 5*13) - (5^2 + 13^2 + 16^2)) = 4.
CROSSREFS
KEYWORD
nonn,tabf
AUTHOR
Wolfdieter Lang, Aug 10 2020
STATUS
approved