OFFSET
0,4
COMMENTS
The q-Pochhammer symbol (a;q)_inf = Product_{k>=0} (1 - a*q^k).
a(n) agrees with A238132(n) for 0 < n < 21.
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..1000
Eric Weisstein's World of Mathematics, q-Pochhammer Symbol.
MAPLE
qP := (x, y) -> (y-1)*QDifferenceEquations:-QPochhammer(-y, x, 99):
dP := x -> (qP(x, sqrt(2)) + qP(x, -sqrt(2)))/2:
simplify(expand(dP(x), x)): seq(coeff(%, x, n), n=0..52); # Peter Luschny, Nov 17 2016
MATHEMATICA
Simplify@(((Sqrt[2] - 1) QPochhammer[-Sqrt[2], x] - (Sqrt[2] + 1) QPochhammer[Sqrt[2], x])/2 + O[x]^53)[[3]]
CROSSREFS
KEYWORD
nonn
AUTHOR
Vladimir Reshetnikov, Nov 16 2016
STATUS
approved