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A101923 Expansion of 2 * arccot(cos(x)). 1
1, 2, 1, 148, 3719, 20098, 5055961, 403644152, 7831409041, 2707151879398, 472143935754479, 22085804322342748, 9362259685093715401, 2995219209329323622102, 274269338931958691728681 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

Odd coefficients are zero.

FORMULA

2acot(cos(x)) = Pi/2 + x^2/2! + 2*x^4/4! + x^6/6! + 148*x^8/8! + 3719*x^10/10! +...

2atan(cos(x)) = Pi/2 - x^2/2! - 2*x^4/4! - x^6/6! + 148*x^8/8! + 3719*x^10/10! +...

CROSSREFS

Cf. A012494.

Sequence in context: A039923 A081708 A012004 * A010788 A016448 A098879

Adjacent sequences:  A101920 A101921 A101922 * A101924 A101925 A101926

KEYWORD

nonn

AUTHOR

Ralf Stephan, Dec 27 2004

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Last modified February 14 22:30 EST 2012. Contains 205678 sequences.