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A040401 Continued fraction for sqrt(422). +0
1
20, 1, 1, 5, 2, 1, 3, 20, 3, 1, 2, 5, 1, 1, 40, 1, 1, 5, 2, 1, 3, 20, 3, 1, 2, 5, 1, 1, 40, 1, 1, 5, 2, 1, 3, 20, 3, 1, 2, 5, 1, 1, 40, 1, 1, 5, 2, 1, 3, 20, 3, 1, 2, 5, 1, 1, 40, 1, 1, 5, 2, 1, 3, 20, 3, 1, 2, 5, 1, 1, 40, 1, 1, 5, 2, 1, 3, 20, 3, 1, 2, 5, 1, 1, 40, 1, 1 (list; graph; listen)
OFFSET

0,1

LINKS

Index entries for continued fractions for constants

FORMULA

a(n)=(1/1274)*{-3463*(n mod 14)+86*[(n+1) mod 14]+450*[(n+2) mod 14]-187*[(n+3) mod 14]-5*[(n+4) mod 14]+268*[(n+5) mod 14]+1633*[(n+6) mod 14]-1461*[(n+7) mod 14]-96*[(n+8) mod 14]+177*[(n+9) mod 14]+359*[(n+10) mod 14]-278*[(n+11) mod 14]+86*[(n+12) mod 14]+3635*[(n+13) mod 14]}-20*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Apr 30 2009]

MAPLE

with(numtheory): Digits := 300: convert(evalf(sqrt(422)), confrac);

CROSSREFS

Sequence in context: A040406 A040403 A040402 this_sequence A040400 A139459 A154652

Adjacent sequences: A040398 A040399 A040400 this_sequence A040402 A040403 A040404

KEYWORD

nonn,cofr,easy

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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