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A170922 Write sqrt(1+x) = Prod_{n>=1} (1 + g_n x^2n); a(n) = numerator(g_n). 1
1, -1, 1, -13, 3, -37, 9, -1861, 7, -1491, 93, -81001, 315, -69705, 1083, -63586357, 3855, -438821, 13797, -822684711, 49689, -186369117, 182361, -704368012465, 10485, -10165801275, 619549, -9738266477517, 9256395, -566066862375, 34636833, -140047960975823893 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

LINKS

Table of n, a(n) for n=1..32.

Giedrius Alkauskas, One curious proof of Fermat's little theorem, arXiv:0801.0805 [math.NT], 2008.

Giedrius Alkauskas, A curious proof of Fermat's little theorem, Amer. Math. Monthly 116(4) (2009), 362-364.

Giedrius Alkauskas, Algebraic functions with Fermat property, eigenvalues of transfer operator and Riemann zeros, and other open problems, arXiv:1609.09842 [math.NT], 2016.

H. Gingold, H. W. Gould, and Michael E. Mays, Power Product Expansions, Utilitas Mathematica 34 (1988), 143-161.

H. Gingold and A. Knopfmacher, Analytic properties of power product expansions, Canad. J. Math. 47 (1995), 1219-1239.

W. Lang, Recurrences for the general problem.

EXAMPLE

1/2, -1/8, 1/8, -13/128, 3/32, -37/512, 9/128, -1861/32768, ...

CROSSREFS

Cf. A170923.

Sequence in context: A107806 A138965 A317313 * A005602 A272175 A297874

Adjacent sequences:  A170919 A170920 A170921 * A170923 A170924 A170925

KEYWORD

sign,frac

AUTHOR

N. J. A. Sloane, Jan 31 2010

STATUS

approved

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Last modified November 19 16:37 EST 2019. Contains 329323 sequences. (Running on oeis4.)