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A352907
Records in the number of iterations in the 3x+1 sequences required to reach a power of 2.
3
0, 3, 4, 12, 15, 16, 19, 107, 108, 111, 114, 117, 120, 123, 126, 139, 140, 166, 174, 177, 178, 204, 212, 233, 257, 263, 271, 274, 277, 303, 306, 319, 335, 346, 349, 370, 378, 381, 438, 444, 465, 504, 520, 523, 526, 552, 555, 558, 579, 592, 608, 660, 681, 684
OFFSET
1,2
COMMENTS
Records of the number of nonpowers of 2 in the sequences 3x+1.
Is this a finite sequence?
LINKS
Paolo Xausa, Table of n, a(n) for n = 1..147 (b-file generated using Eric Roosendaal's data and Omar E. Pol's comment in A006877).
Eric Roosendaal, 3x+1 Delay Records
MATHEMATICA
f[n_] := -1 + Length @ NestWhileList[If[OddQ[#], 3*# + 1, #/2] &, n, !IntegerQ @ Log[2, #] &]; Union @ FoldList[Max, Array[f, 10^5]] (* Amiram Eldar, Apr 08 2022 *)
CROSSREFS
Records in A208981.
Cf. A352939 (first differences).
Cf. A347270 (gives all 3x+1 sequences).
Sequence in context: A336612 A070287 A124637 * A047173 A116653 A218967
KEYWORD
nonn
AUTHOR
Omar E. Pol, Apr 07 2022
EXTENSIONS
More terms from Alois P. Heinz, Apr 07 2022
STATUS
approved