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A095383
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Number of different initial values for 3x+1 trajectories started with initial values not exceeding 2^n and in which the peak values are larger than 2^n.
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1
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0, 1, 4, 6, 19, 31, 73, 144, 331, 672, 1468, 3024, 6065, 9592, 19701, 39630, 79625, 157569, 316139, 632655, 1264043, 2532963, 5060484, 10128862, 20270752, 40575156, 81134041, 162268825, 324627203, 649177198, 1298516271, 2596827906
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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EXAMPLE
| n=4: between iv={1,2,...,16} {7,9,11,13,14,15} provides
peak values larger than 16, so a[4]=6.
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MATHEMATICA
| c[x_]:=c[x]=(1-Mod[x, 2])*(x/2)+Mod[x, 2]*(3*x+1); c[1]=1; fpl[x_]:=FixedPointList[c, x]; {$RecursionLimit=1000; m=0}; Table[Print[{xm-1, m}]; m=0; Do[If[Greater[Max[fpl[n]], 2^xm], m=m+1], {n, 1, 2^xm}], {xm, 1, 30}]
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CROSSREFS
| Cf. A087256, A095381, A095382, A095384.
Sequence in context: A034189 A024697 A024874 * A116383 A026521 A202618
Adjacent sequences: A095380 A095381 A095382 * A095384 A095385 A095386
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KEYWORD
| nonn
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AUTHOR
| Labos E. (labos(AT)ana.sote.hu), Jun 14 2004
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EXTENSIONS
| a(22)-a(32) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Feb 02 2011
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