id:A087252 - OEIS Search Results

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Numbers divisible by 4, which cannot be largest-peak-value in 3x+1 trajectory regardless initial value.

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3

12, 28, 36, 44, 60, 76, 92, 108, 120, 124, 140, 156, 164, 172, 188, 204, 216, 220, 236, 248, 252, 268, 284, 292, 300, 316, 328, 332, 348, 364, 376, 380, 388, 396, 412, 420, 428, 432, 436, 440, 444, 460, 476, 484, 492, 496, 500, 504, 508, 516, 524, 540, 548 (list; graph; listen)

	OFFSET	`1,1`
	EXAMPLE	`It is provable that (beyond 1 and 2) the largest` `values in 3x+1 trajectories should be divisible` `by 4. However, infinite number of 4k numbers` `cannot be largest in this sense.` `E.g. iv=16k+12=4.(4k+3) is an impossible peak` `because its trajectory includes larger number as follows:` `[16k+12]--[8k+6]--[4k+3]--[12k+10]--[6k+5]--[18k+16]>16k+12.`
	CROSSREFS	`Cf. A025586.` `Adjacent sequences: A087249 A087250 A087251 this_sequence A087253 A087254 A087255` `Sequence in context: A069550 A079705 A068721 this_sequence A141274 A134618 A108405`
	KEYWORD	`nonn`
	AUTHOR	`Labos E. (labos(AT)ana.sote.hu), Sep 08 2003`

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Last modified October 13 20:18 EDT 2008. Contains 145016 sequences.

AT&T Labs Research