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URL: https://oeis.org/A276474

⇱ A276474 - OEIS


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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
OFFSET
0,4
COMMENTS
The q-Pochhammer symbol (q; q)_n = Product_{k=1..n} (1 - q^k).
LINKS
Eric Weisstein's World of Mathematics, q-Pochhammer Symbol.
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