|
|
A292496
|
|
Number of solutions to +- 1^2 +- 3^2 +- 5^2 +- 7^2 +- ... +- (4*n-1)^2 = 0.
|
|
5
|
|
|
1, 0, 0, 0, 2, 0, 12, 0, 40, 10, 516, 124, 5020, 1828, 48570, 32806, 527890, 444480, 6137942, 6482314, 70573856, 93276044, 853480374, 1300190254, 10660384742, 18371629260, 134129890382, 259804151324, 1728886287134, 3667061002286, 22672130669968
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,5
|
|
LINKS
|
|
|
FORMULA
|
Constant term in the expansion of Product_{k=1..2*n} (x^(2*k-1)^2+1/x^(2*k-1)^2).
|
|
EXAMPLE
|
For n=4 the 2 solutions are +1^2-3^2-5^2+7^2-9^2+11^2+13^2-15^2 = 0 and -1^2+3^2+5^2-7^2+9^2-11^2-13^2+15^2 = 0.
|
|
PROG
|
(PARI) a(n) = polcoeff(prod(k=1, 2*n, x^(2*k-1)^2+1/x^(2*k-1)^2), 0); \\ Michel Marcus, Sep 18 2017
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|