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Search: id:A053988
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A053988 Denominators of successive convergents to tan(1/2) using continued fraction 1/(2-1/(6-1/(10-1/(14-1/(18-1/(22-1/(26-1/30-...))))))). +0
2
2, 11, 108, 1501, 26910, 590519, 15326584, 459207001, 15597711450, 592253828099, 24859063068708, 1142924647332469, 57121373303554742, 3083411233744623599, 178780730183884614000 (list; graph; listen)
OFFSET

1,1

FORMULA

a(n)=sum(k=0, floor(n/2), (-1)^k*(2*n-2*k)!/(n-2*k)!/(2*k)!) - Benoit Cloitre (benoit7848c(AT)orange.fr), Jan 03 2006

PROGRAM

(PARI) a(n)=sum(k=0, floor(n/2), (-1)^k*(2*n-2*k)!/(n-2*k)!/(2*k)!) (Cloitre)

CROSSREFS

Cf. A053987.

Sequence in context: A111535 A088690 A118805 this_sequence A141314 A099933 A098437

Adjacent sequences: A053985 A053986 A053987 this_sequence A053989 A053990 A053991

KEYWORD

easy,frac,nonn

AUTHOR

Vladeta Jovovic (vladeta(AT)eunet.rs), Apr 03 2000

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.


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