Because no one is double checking, N * A = △ is false. Between E,X,N 0->255, there are 1,431 valid cells where NA = △, and 177,158 valid cells where NA != △.
Flexing my programming skills, I have this for you.
A*B 1066 triangular, 177523 not triangular.
A*C 142 triangular, 140574 not triangular.
A*D 1577 triangular, 177012 not triangular.
A*E 4488 triangular, 174101 not triangular.
A*N 3907 triangular, 174682 not triangular.
A*X 2517 triangular, 176072 not triangular.
B*C 34 triangular, 139377 not triangular.
B*D 830 triangular, 177759 not triangular.
B*E 2842 triangular, 175747 not triangular.
B*N 2309 triangular, 176280 not triangular.
B*X 1328 triangular, 177261 not triangular.
C*D 240 triangular, 139792 not triangular.
C*E 1782 triangular, 155938 not triangular.
C*N 400 triangular, 178189 not triangular.
C*X 420 triangular, 154549 not triangular.
D*E 3244 triangular, 175345 not triangular.
D*N 2823 triangular, 175766 not triangular.
D*X 1870 triangular, 176719 not triangular.
E*N 11106 triangular, 167483 not triangular.
E*X 5440 triangular, 173149 not triangular.
N*X 8336 triangular, 170253 not triangular.
I'm skipping the calculation if it overflows past java's MAX_INT (2147483647), which is why all the total's aren't all the same, and the original N*A numbers are different because I changed the sieve to add 0 as a triangular number.
Ran addition as well because the hard part of the code is already done.
A+B 3426 triangular, 175163 not triangular.
A+C 1098 triangular, 177491 not triangular.
A+D 4533 triangular, 174056 not triangular.
A+E 5156 triangular, 173433 not triangular.
A+N 5710 triangular, 172879 not triangular.
A+X 5713 triangular, 172876 not triangular.
B+C 1072 triangular, 177517 not triangular.
B+D 3326 triangular, 175263 not triangular.
B+E 3506 triangular, 175083 not triangular.
B+N 4088 triangular, 174501 not triangular.
B+X 3960 triangular, 174629 not triangular.
C+D 430 triangular, 178159 not triangular.
C+E 441 triangular, 178148 not triangular.
C+N 455 triangular, 178134 not triangular.
C+X 402 triangular, 178187 not triangular.
D+E 6097 triangular, 172492 not triangular.
D+N 4902 triangular, 173687 not triangular.
D+X 4885 triangular, 173704 not triangular.
E+N 11695 triangular, 166894 not triangular.
E+X 10210 triangular, 168379 not triangular.
N+X 11511 triangular, 167078 not triangular.
Also tried (Var1 + Var2) ^2, and Var1 * Var2 * 2 with similar numbers. Any other ideas?
All cells where 2 * N * A = 50. Format is {E:N:D:X:A:B} : C
{1:1:32:7:25:41} : 1025
{1:5:12:7:5:29} : 145
{1:25:8:7:1:65} : 65
{14:1:31:6:25:39} : 975
{14:5:11:6:5:27} : 135
{14:25:7:6:1:63} : 63
{25:1:30:5:25:37} : 925
{34:1:29:4:25:35} : 875
{41:1:28:3:25:33} : 825
{46:1:27:2:25:31} : 775
{49:1:26:1:25:29} : 725
{50:1:25:0:25:27} : 675
All cells in +E,X,N** If you want ALL cells, they're here: https:/ /pastebin.com/w1E6jWcu
My interesting observation is the
{1:1:32:7:25:41} : 1025
cell. This has the same 2NA as our answer cell, and shares the same E and X as our answer cell. I played with this solution idea for a while at the end of December. This was the path I was trying to work out,
{1:61:12:11:1:145} : 145
-{1:1:72:11:61:85} : 5185
-(Unknown logic) {1:1:32:7:25:41} : 1025
-{1:5:12:7:5:29} : 145