id:A100261 - OEIS Search Results

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Continued fraction expansion of cot(1-Pi/4).

+0
3

4, 1, 1, 2, 2, 1, 16, 1, 4, 2, 5, 1, 28, 1, 7, 2, 8, 1, 40, 1, 10, 2, 11, 1, 52, 1, 13, 2, 14, 1, 64, 1, 16, 2, 17, 1, 76, 1, 19, 2, 20, 1, 88, 1, 22, 2, 23, 1, 100, 1, 25, 2, 26, 1, 112, 1, 28, 2, 29, 1, 124, 1, 31, 2, 32, 1, 136, 1, 34, 2, 35, 1, 148, 1, 37, 2, 38, 1, 160, 1, 40 (list; graph; listen)

	OFFSET	`1,1`
	LINKS	`A. J. van der Poorten, Continued fraction expansions of values of the exponential function...`
	FORMULA	`This number is also -Im[ (e^(2i)+i)/(e^(2i)-i) ].` `Periodic part is ...2, 3k+2, 1, 12k+16, 1, 3k+4, ... (k=0..inf).`
	EXAMPLE	`4.588037824983899981397906503733748769677138839382189177607356840...`
	MATHEMATICA	`ContinuedFraction[ -Im[(E^(2I) + I)/(E^(2I) - I)], 80] (from Robert G. Wilson v Nov 20 2004)`
	CROSSREFS	`Cf. A005131.` `Sequence in context: A077604 A112985 A073693 this_sequence A016526 A030747 A096103` `Adjacent sequences: A100258 A100259 A100260 this_sequence A100262 A100263 A100264`
	KEYWORD	`nonn,cofr`
	AUTHOR	`Ralf Stephan, Nov 18 2004`

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.

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