A219744 The number of 2 X 2 symmetric positive definite matrices whose entries are integers x,y,z satisfying x^2 + y^2 + z^2 <= n^2.
0, 1, 10, 22, 49, 92, 150, 227, 328, 449, 609, 792, 1017, 1281, 1582, 1911, 2308, 2750, 3241, 3778, 4420, 5049, 5776, 6572, 7429, 8378, 9413, 10505, 11646, 12935, 14251, 15690, 17235, 18854, 20580, 22391, 24330, 26352, 28541, 30750
Offset: 1
Keywords
Crossrefs
Cf. A219693.
Programs
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Maple
a:=proc(n) local x,y,z,count,num; count:=0; for x from 0 to n do for y from 0 to n do for z from -n to n do if x^2+y^2+z^2 > n^2 then next; fi; if x>0 and x*y > z^2 then count:=count+1; fi; od: od: od: count; end: