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A333302 Numbers produced by iteratively sorting the digits of the last number from largest to smallest in base 10 and then doubling, starting with the number 1. 0
1, 2, 4, 8, 16, 122, 442, 884, 1768, 17522, 150442, 1088420, 17684200, 175284200, 1750844200, 17508842000, 177508420000, 1755084200000, 17510842000000, 175084220000000, 1750844200000000, 17508842000000000, 177508420000000000, 1755084200000000000 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

It appears that the first 8 digits begin to cycle in a period of 6 while adding one zero every iteration.

LINKS

Table of n, a(n) for n=1..24.

MATHEMATICA

a[1] = 1; a[n_] := a[n] = 2 FromDigits@ Reverse@ Sort@ IntegerDigits@ a[n-1]; Array[a, 24] (* Giovanni Resta, Apr 15 2020 *)

PROG

(PARI) lista(nn) = {my(a=1); print1(a, ", "); for (n=2, nn, a = 2*fromdigits(vecsort(digits(a), , 4)); print1(a, ", "); ); } \\ Michel Marcus, Apr 16 2020

CROSSREFS

Cf. A004000, A057615, A095197.

Sequence in context: A323453 A277280 A095197 * A321532 A061581 A046251

Adjacent sequences:  A333299 A333300 A333301 * A333303 A333304 A333305

KEYWORD

nonn,base

AUTHOR

Ethan Hulinsky, Mar 14 2020

STATUS

approved

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Last modified August 13 18:03 EDT 2022. Contains 356107 sequences. (Running on oeis4.)