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A292043 G.f.: Im((i*x; x)_inf), where (a; q)_inf is the q-Pochhammer symbol, i = sqrt(-1). 8
0, -1, -1, -1, -1, -1, 0, 0, 1, 2, 3, 4, 6, 7, 9, 10, 12, 13, 15, 15, 16, 16, 16, 14, 13, 9, 6, 0, -5, -14, -22, -34, -45, -60, -74, -93, -110, -132, -152, -177, -199, -226, -249, -277, -300, -328, -348, -373, -389, -408, -417, -428, -425, -424, -407, -389, -352 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,10

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..1000

Eric Weisstein's World of Mathematics, q-Pochhammer Symbol.

FORMULA

(i*x; x)_inf is the g.f. for A292042(n) + i*a(n).

A292042(n)^2 + a(n)^2 = A278420(n). - Vaclav Kotesovec, Sep 08 2017

EXAMPLE

Product_{k>=1} (1 - i*x^k) = 1 + (0-1i)*x + (0-1i)*x^2 + (-1-1i)*x^3 + (-1-1i)*x^4 + (-2-1i)*x^5 + (-2+0i)*x^6 + (-3+0i)*x^7 + ...

MATHEMATICA

Im[CoefficientList[Series[QPochhammer[I*x, x], {x, 0, 100}], x]] (* Vaclav Kotesovec, Sep 08 2017 *)

CROSSREFS

Cf. A278399, A278400, A278420, A292042, A292052.

Sequence in context: A001953 A230748 A078607 * A292052 A187484 A186237

Adjacent sequences:  A292040 A292041 A292042 * A292044 A292045 A292046

KEYWORD

sign

AUTHOR

Seiichi Manyama, Sep 08 2017

STATUS

approved

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Last modified October 22 07:29 EDT 2019. Contains 328315 sequences. (Running on oeis4.)