id:A084593 - OEIS Search Results

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Least positive integers, all distinct, that satisfy sum(n>0,1/a(n)^z)=0, where z is the 100-th nontrivial zero of the Riemann Zeta function: z=(1/2 + i*y) with y=236.5242296658162058024755...

+0
7

1, 3, 5, 9, 12, 23, 28, 46, 86, 92, 101, 108, 125, 161, 177, 205, 257, 282, 318, 331, 344, 358, 363, 368, 373, 388, 426, 456, 475, 535, 542, 564, 587, 595, 619, 644, 670, 716, 745, 775, 806, 838, 849, 884, 920, 957, 995, 1008, 1049, 1091, 1135, 1181, 1228, 1243 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`Sequence satisfies sum(n>0,1/a(n)^z)=0 by requiring that the modulus of the successive partial sums are monotonically decreasing in magnitude to zero for the given z.`
	LINKS	`Andrew M. Odlyzko, The first 100 (nontrivial) zeros of the Riemann Zeta function.`
	PROGRAM	`(PARI) S=0; w=1; a=0; for(n=1, 100, b=a+1; while(abs(S+exp(-zlog(b)))>w, b++); S=S+exp(-zlog(b)); w=abs(S); a=b; print1(b, ", "))`
	CROSSREFS	`Cf. A084588-A084592.` `Sequence in context: A046746 A058599 A059093 this_sequence A161866 A102968 A089593` `Adjacent sequences: A084590 A084591 A084592 this_sequence A084594 A084595 A084596`
	KEYWORD	`nonn`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), Jun 04 2003`

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.

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