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A036244 Denominator of continued fraction given by C(n) = [ 1; 3, 5, 7, ...(2n-1)]. +0
3
1, 3, 16, 115, 1051, 11676, 152839, 2304261, 39325276, 749484505, 15778499881, 363654981768, 9107153044081, 246256787171955, 7150553981030776, 221913430199126011, 7330293750552189139, 256782194699525745876 (list; graph; listen)
OFFSET

1,2

COMMENT

Denominators of convergents to coth(1)

FORMULA

a(n) = a(n-1)*(2*n-1) + a(n-2)

E.g.f.: sinh(1-(1-2*x)^(1/2))/(1-2*x)^(1/2). - Vladeta Jovovic (vladeta(AT)eunet.rs), Jan 30 2004

CROSSREFS

Cf. A001040, A001053, A025164.

Numerators are sequence A025164.

Cf. A025164.

Sequence in context: A074523 A042437 A159606 this_sequence A011818 A036248 A111555

Adjacent sequences: A036241 A036242 A036243 this_sequence A036245 A036246 A036247

KEYWORD

nonn,easy,frac

AUTHOR

Jeff Burch (gburch(AT)erols.com)

EXTENSIONS

More terms from Larry Reeves (larryr(AT)acm.org), May 15 2001

More terms from Benoit Cloitre (benoit7848c(AT)orange.fr), Dec 20 2002

More terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Jan 30 2004

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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