A180773 Number of distinct solutions of Sum_{i=1..2} (x(2i-1)*x(2i)) = 0 (mod n), with x() only in 1..n-1.
0, 1, 2, 6, 13, 23, 36, 62, 78, 123, 150, 238, 255, 355, 427, 567, 580, 864, 810, 1202, 1232, 1471, 1452, 2310, 1960, 2479, 2712, 3414, 2947, 4649, 3600, 5126, 5022, 5673, 5845, 8457, 6165, 7975, 8405, 11062, 8410, 13133, 9702, 13726, 14475, 14323, 12696
Offset: 1
Keywords
Examples
Solutions for sum of products of 2 1..5 pairs = 0 (mod 6) are (1*1 + 1*5) (1*2 + 1*4) (1*2 + 2*2) (1*2 + 2*5) (1*2 + 4*4) (1*3 + 1*3) (1*3 + 3*3) (1*3 + 3*5) (1*4 + 2*4) (1*4 + 4*5) (1*5 + 5*5) (2*2 + 2*4) (2*2 + 4*5) (2*3 + 2*3) (2*3 + 3*4) (2*4 + 2*5) (2*4 + 4*4) (2*5 + 4*5) (3*3 + 3*3) (3*3 + 3*5) (3*4 + 3*4) (3*5 + 3*5) (4*4 + 4*5)
Links
- R. H. Hardin, Table of n, a(n) for n=1..999
Crossrefs
Column 2 of A180782.