A072564 - OEIS

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A072564

Numbers n such that the absolute values of the real and imaginary part of zeta(1/2+n*I) are both < 1.

4, 5, 6, 15, 22, 31, 38, 41, 57, 60, 70, 76, 78, 83, 85, 88, 95, 99, 104, 106, 119, 123, 124, 130, 134, 140, 158, 175, 177, 186, 197, 203, 205, 208, 212, 214, 221, 238, 240, 243, 250, 259, 260, 267, 270, 277, 279, 285, 287, 292, 295, 300, 302, 303, 305, 313 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,1`
	FORMULA	`Conjecture : lim n -> infinity a(n)/n = C exists 5<C<6`
	EXAMPLE	`zeta(1/2+15I) = (0.1471...) + (0.7047...)I; 0.1471... <1 and 0.7047..<1 hence 15 is in the sequence.`
	CROSSREFS	`Sequence in context: A029645 A191208 A050162 * A049899 A010753 A047195` `Adjacent sequences: A072561 A072562 A072563 * A072565 A072566 A072567`
	KEYWORD	`nonn`
	AUTHOR	`Benoit Cloitre (benoit7848c(AT)orange.fr), Aug 06 2002`

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Last modified February 16 21:51 EST 2012. Contains 205978 sequences.