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A276475
a(n) = ((sqrt(2); sqrt(2))_n - (-sqrt(2); -sqrt(2))_n)/(2*sqrt(2)), where (q; q)_n is the q-Pochhammer symbol.
2
0, -1, 1, 3, -9, -69, 483, 5355, -80325, -2081205, 64517355, 2738408715, -172519749045, -17158004483445, 2179066569397515, 365466952872801675, -93194072982564427125, -36694334101466364023925, 18750804725849312016225675
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 = A276474(n) + a(n)*sqrt(2).
(-sqrt(2); -sqrt(2))_n = A276474(n) - a(n)*sqrt(2).
MATHEMATICA
Round@Table[(QPochhammer[Sqrt[2], Sqrt[2], n] - QPochhammer[-Sqrt[2], -Sqrt[2], n])/(2 Sqrt[2]), {n, 0, 20}]
CROSSREFS
KEYWORD
sign
AUTHOR
STATUS
approved