id:A138284 - OEIS Search Results

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Decimal expansion of the negative real part of z0, the smallest second-quadrant solution of z = Cos(z).

+0
2

2, 4, 8, 6, 8, 8, 5, 6, 9, 8, 9, 0, 8, 5, 6, 0, 2, 3, 0, 6, 9, 6, 9, 5, 7, 0, 3, 4, 3, 5, 0, 6, 5, 7, 9, 7, 9, 4, 2, 2, 8, 2, 8, 5, 5, 2, 8, 8, 8, 8, 3, 1, 4, 7, 8, 9, 7, 8, 2, 3, 9, 7, 8, 1, 6, 1, 9, 0, 4, 3, 3, 3, 9, 9, 2, 7, 0, 8, 7, 3, 8, 3, 1, 1, 3, 1, 1, 1, 1, 1, 5, 7, 7, 9, 9, 2, 5, 7, 9, 9, 0, 6, 1, 8, 1 (list; cons; graph; listen)

	OFFSET	`1,1`
	COMMENT	`z0 is a repelling fixed point of Cos(z). The only fixed point on the real axis is 0.73908... (A003957), which is an attracting fixed point.`
	EXAMPLE	`2.486885698908560230696957...`
	MATHEMATICA	`z0 = FindRoot[{Re[Cos[x+Iy]]==x, Im[Cos[x+Iy]]==y}, {{x, -2}, {y, 2}}, WorkingPrecision->150]; RealDigits[z0[[1, 2]]]`
	CROSSREFS	`Cf. A138285 (imaginary part).` `Adjacent sequences: A138281 A138282 A138283 this_sequence A138285 A138286 A138287` `Sequence in context: A046260 A086354 A014257 this_sequence A022478 A121711 A125597`
	KEYWORD	`cons,nonn`
	AUTHOR	`T. D. Noe (noe(AT)sspectra.com), Mar 12 2008`

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Last modified November 9 12:23 EST 2009. Contains 166233 sequences.

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