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A132201
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Pierce expansion of Catalan's Constant A006752.
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0
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1, 11, 13, 59, 582, 12285, 127893, 654577, 1896651, 2083263, 3828867, 6195679, 22339606, 43877386, 209882043, 269091773, 1585394894, 2614512078, 3726537414, 4487682121, 6296491774, 8648456991, 23933983277, 174313954158, 367633382556
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OFFSET
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1,2
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LINKS
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Table of n, a(n) for n=1..25.
T. A. Pierce, On an algorithm and its use in approximating roots of algebraic equations, Am. Math. Monthly 36 (10) (1929) 523.
Eric Weisstein's World of Mathematics, Pierce Expansion, MathWorld.
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EXAMPLE
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0.9159...=1/1-1/11+1/(11*13)-1/(11*13*59)+1/(11*13*59*582)-...
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MAPLE
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Digits := 300: Pierce := proc(x) local resid, a, i, an ; resid := x ; a := [] ; for i from 1 do an := floor(1./resid) ; a := [op(a), an] ; resid := evalf(1.-an*resid) ; if ilog10( mul(i, i=a)) > 0.7*Digits then break ; fi ; od: RETURN(a) ; end: Pierce(Catalan);
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CROSSREFS
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Cf. A006752.
Sequence in context: A188386 A027450 A036295 * A057189 A072580 A186640
Adjacent sequences: A132198 A132199 A132200 * A132202 A132203 A132204
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KEYWORD
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nonn
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AUTHOR
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R. J. Mathar, Nov 05 2007
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STATUS
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approved
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