id:A138285 - OEIS Search Results

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

+0
2

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

	OFFSET	`1,2`
	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	`1.809361341295703319016276...`
	MATHEMATICA	`z0 = FindRoot[{Re[Cos[x+Iy]]==x, Im[Cos[x+Iy]]==y}, {{x, -2}, {y, 2}}, WorkingPrecision->150]; RealDigits[z0[[2, 2]]]`
	CROSSREFS	`Cf. A138284 (real part).` `Sequence in context: A076350 A005076 A019863 this_sequence A085291 A109219 A154803` `Adjacent sequences: A138282 A138283 A138284 this_sequence A138286 A138287 A138288`
	KEYWORD	`cons,nonn`
	AUTHOR	`T. D. Noe (noe(AT)sspectra.com), Mar 12 2008`

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Last modified November 24 23:16 EST 2009. Contains 167481 sequences.

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