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A133508 Record numbers of steps associated with the terms of A133503. 2
0, 1, 2, 5, 9, 10, 11, 12, 13, 15 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

This sequence is almost certainly finite.

LINKS

Table of n, a(n) for n=1..10.

EXAMPLE

The smallest number that takes 13 steps to converge is 497699, for which the trajectory is 497699 -> 11948427342082473984 -> 23554621393597287150649344 -> 2030652382202824185652602470400000 -> 101921587200000000 -> 38281250 -> 1679616 -> 1452729852 -> 1318305830625 -> 70312500 -> 96 -> 531441 -> 500 -> 0.

The smallest number that takes 15 steps to converge is 3559595 -> for which the trajectory is 3559595 -> 4634857177734375 -> 23122964691361341376561152 -> 1194842734208247398400000000 -> 23554621393597287150649344 -> 2030652382202824185652602470400000 -> 101921587200000000 -> 38281250 -> 1679616 -> 1452729852 -> 1318305830625 -> 70312500 -> 96 -> 531441 -> 500 -> 0.

The number 31395559595973 takes 16 steps to converge and so the next term is >= 16.

The trajectory of 31395559595973 is 31395559595973 -> 471570692025125026702880859375 -> 34755118508614725279865110528 -> 23122964691361341376561152000000 -> 1194842734208247398400000000 -> 23554621393597287150649344 -> 2030652382202824185652602470400000 -> 101921587200000000 -> 38281250 -> 1679616 -> 1452729852 -> 1318305830625 -> 70312500 -> 96 -> 531441 -> 500 -> 0.

CROSSREFS

Cf. A133500, A133501, A133503.

Sequence in context: A196408 A091656 A273044 * A125969 A070240 A007369

Adjacent sequences:  A133505 A133506 A133507 * A133509 A133510 A133511

KEYWORD

nonn,base,more

AUTHOR

J. H. Conway and N. J. A. Sloane, Dec 04 2007, Dec 18 2007

STATUS

approved

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Last modified October 22 10:29 EDT 2021. Contains 348160 sequences. (Running on oeis4.)