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A087253 Number of distinct initial values of various 3x+1 trajectories of which the peak-value equals 4n. +0
2
1, 1, 0, 6, 1, 1, 0, 1, 0, 3, 0, 1, 12, 1, 0, 3, 1, 1, 0, 1, 1, 8, 0, 1, 3, 1, 0, 3, 1, 0, 0, 1, 1, 3, 0, 1, 3, 1, 0, 13, 0, 1, 0, 1, 1, 3, 0, 1, 8, 1, 0, 3, 1, 0, 0, 1, 1, 6, 0, 1, 3, 0, 0, 3, 1, 1, 0, 1, 1, 3, 0, 1, 0, 1, 0, 14, 1, 1, 0, 1, 1, 0, 0, 1, 6, 1, 0, 3, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 3, 1, 1, 0, 1, 0 (list; graph; listen)
OFFSET

1,4

EXAMPLE

n=13: a(13)=12 because peak=4.13=52

occurs at the following 12 initial values:

{7,9,11,14,17,18,22,28,34,36,44,52};

this list differs from trajectory started at iv=52.

Impossible peaks of 4k form are listed in A087252

(corresponding to a[x]=0).

CROSSREFS

Cf. A025586.

Sequence in context: A114153 A119832 A166141 this_sequence A143532 A167155 A080219

Adjacent sequences: A087250 A087251 A087252 this_sequence A087254 A087255 A087256

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Sep 08 2003

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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