|
|
A276474
|
|
a(n) = ((sqrt(2); sqrt(2))_n + (-sqrt(2); -sqrt(2))_n)/2, where (q; q)_n is the q-Pochhammer symbol.
|
|
6
|
|
|
1, 1, -1, -5, 15, 87, -609, -8337, 125055, 2695455, -83559105, -4212669825, 265398198975, 22347926076735, -2838186611745345, -560679228377509185, 142973203236264842175, 47858338570309251530175, -24455611009428027531919425, -19225279650279123532147010625
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,4
|
|
COMMENTS
|
The q-Pochhammer symbol (q; q)_n = Product_{k=1..n} (1 - q^k).
|
|
LINKS
|
|
|
FORMULA
|
(sqrt(2); sqrt(2))_n = a(n) + A276475(n)*sqrt(2).
(-sqrt(2); -sqrt(2))_n = a(n) - A276475(n)*sqrt(2).
|
|
MATHEMATICA
|
Round@Table[(QPochhammer[Sqrt[2], Sqrt[2], n] + QPochhammer[-Sqrt[2], -Sqrt[2], n])/2, {n, 0, 20}]
|
|
CROSSREFS
|
|
|
KEYWORD
|
sign
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|