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A094650
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An accelerator sequence for Catalan's constant.
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3
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5, -1, 9, -4, 25, -16, 78, -64, 257, -256, 874, -1013, 3034, -3953, 10684, -15229, 38017, -58056, 136338, -219508, 491870, -824737, 1782735, -3083887, 6484514, -11489516, 23652443, -42688039, 86459608, -158270401, 316576903, -585868009, 1160673633
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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REFERENCES
| David M. Bradley, A Class of Series Acceleration Formulae for Catalan's Constant, The Ramanujan Journal, Vol. 3, Issue 2, 1999, pp. 159-173
A. Akbary and Q. Wang, On some permutation polynomials over finite fields, International Journal of Mathematics and Mathematical Sciences, 2005:16 (2005) 2631-2640.
A. Akbary and Q. Wang, A generalized Lucas sequence and permutation binomials, Proceeding of the American Mathematical Society, 134 (1) (2006), 15-22.
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FORMULA
| G.f.: (5+4x-12x^2-6x^3+3x^4)/(1+x-4x^2-3x^3+3x^4+x^5); a(n)=(2cos(2*pi/11))^n+(-2cos(pi/11))^n+(-2sin(5*pi/22))^n+(2sin(3*pi/22))^n+(-2sin(pi/22))^n.
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CROSSREFS
| Cf. A000032, A094648, A094649.
Sequence in context: A103133 A098318 A193029 * A189234 A199736 A198671
Adjacent sequences: A094647 A094648 A094649 * A094651 A094652 A094653
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KEYWORD
| easy,sign
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), May 18 2004
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