id:A019296 - OEIS Search Results

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A019296

Values of n for which exp(Pi*sqrt(n)) is very close to an integer.

+0
5

-1, 0, 6, 17, 18, 22, 25, 37, 43, 58, 59, 67, 74, 103, 148, 149, 163, 164, 177, 205, 223, 226, 232, 267, 268, 326, 359, 386, 522, 566, 630, 638, 652, 719, 790, 792, 928, 940, 986, 1005, 1014, 1169, 1194, 1213, 1245, 1257, 1293, 1326, 1332, 1353, 1441, 1467 (list; graph; listen)

	OFFSET	`-1,3`
	COMMENT	`Very close is defined here as being less than 1/100.` `e^(Pi*sqrt(163)) is 262537412640768743.9999999999992500725971981856888... and no closer exponent of this character has been discovered. See A069014.`
	LINKS	`Roy Williams Clickery, Exp(Pi*Sqrt(n)) Page`
	MATHEMATICA	`Select[ Range[ -1, 1480], Abs[ Round[E^(PiSqrt[ # ])] - E^(PiSqrt[ # ])] < 0.01 &]`
	CROSSREFS	`Cf. A003173, A019297, A035484, A069014.` `Adjacent sequences: A019293 A019294 A019295 this_sequence A019297 A019298 A019299` `Sequence in context: A112366 A095421 A063584 this_sequence A035484 A009171 A012417`
	KEYWORD	`sign`
	AUTHOR	`Roy Williams Clickery (roy(AT)ccsf.caltech.edu)`
	EXTENSIONS	`Edited and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), Sep 07 2003`

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Last modified October 10 20:39 EDT 2008. Contains 144831 sequences.

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