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A084540 a(n) is the algebraic order of the elliptic lambda function lambda^*(n), where lambda^*(n) is the value of k_n such that K'(k_n)/K(k_n) = sqrt(n), K(k) is a complete elliptic function and K'(k) is the complementary function. +0
1
2, 2, 4, 2, 8, 4, 4, 4, 8, 4, 12, 4, 8, 8, 8, 4, 16, 4, 12, 8, 16, 4, 12, 8, 8, 12, 12, 4 (list; graph; listen)
OFFSET

1,1

LINKS

Eric Weisstein's World of Mathematics, Elliptic Lambda Function

EXAMPLE

k_3 = 1/4 Sqrt[2](Sqrt[3]-1) = Root[1-16*#1^2+16*#1^4&,3], so a(3) = 4.

CROSSREFS

Sequence in context: A018818 A067538 A096154 this_sequence A113416 A131999 A103178

Adjacent sequences: A084537 A084538 A084539 this_sequence A084541 A084542 A084543

KEYWORD

nonn,more

AUTHOR

Eric Weisstein (eric(AT)weisstein.com), May 29, 2003

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Last modified July 26 23:19 EDT 2008. Contains 142293 sequences.


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