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A278377
Number of 2 X 2 matrices with all elements in {0,1,...,n} and determinant n with no elements repeated.
1
0, 0, 0, 4, 8, 16, 40, 36, 72, 60, 128, 92, 232, 144, 260, 284, 332, 252, 564, 324, 680, 568, 696, 492, 1184, 628, 984, 964, 1392, 796, 1920, 924, 1820, 1512, 1752, 1568, 2820, 1380, 2244, 2104, 3340, 1660, 3864, 1900, 3544, 3388, 3300, 2264, 5652, 2632, 4616
OFFSET
0,4
LINKS
Indranil Ghosh and Chai Wah Wu, Table of n, a(n) for n = 0..3000 (terms for n = 0..100 from Indranil Ghosh)
PROG
(Python)
def a(n):
s=0
for a in range(0, n+1):
for b in range(0, n+1):
for c in range(0, n+1):
for d in range(0, n+1):
if (a!=b and a!=d and b!=d and c!=a and c!=b and c!=d):
if a*d-b*c==n:
s+=1
return s
print([a(n) for n in range(0, 52)]) # Indranil Ghosh, Nov 20 2016
CROSSREFS
Cf. A210282 (where the matrix elements can be repeated).
Sequence in context: A141069 A306621 A144687 * A065605 A065978 A077447
KEYWORD
nonn
AUTHOR
Indranil Ghosh, Nov 20 2016
STATUS
approved