id:A069857 - OEIS Search Results

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Decimal expansion of -C, where C = -0.2959050055752... is the real solution<0 to zeta(x)=x.

+0
3

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

	OFFSET	`0,1`
	COMMENT	`Start from any complex number z=x+iy, not solution to zeta(z)=z, iterate the zeta function on z. If zeta_m(z)=zeta(zeta(....(z)..)) m times, has a limit when m grows, then this limit seems to always be the real number C=-0.2959050055752....`
	EXAMPLE	`Let z=3+5I after 30 iterations : zeta_30(z)=-0.29590556499...-0.00000041029065...*I`
	CROSSREFS	`Sequence in context: A077124 A051491 A021342 this_sequence A076841 A162916 A057273` `Adjacent sequences: A069854 A069855 A069856 this_sequence A069858 A069859 A069860`
	KEYWORD	`cons,easy,nonn`
	AUTHOR	`Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 27 2002`

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Last modified December 17 23:40 EST 2009. Contains 171025 sequences.

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