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A260371 a(n) = A260351(n) - A023811(n), where A260351 is the limit of the orbit of 0 under x -> x + (largest digit not in x) and A023811 is the largest metadrome, both in base n. 0
0, 0, 3, 20, 0, 6, 56, 0, 9, 110, 1848, 12, 208, 210, 270, 272, 0, 124182, 16017 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,3

COMMENTS

a(n) is a multiple of n-1.

Conjecture: a(3k+1) = 3k.

LINKS

Table of n, a(n) for n=2..20.

EXAMPLE

a(10) = 123456798 - 123456789 = 9.

MATHEMATICA

Table[s = 0; t = 1; While[t != 0, t = Complement[Range[0, b - 1], IntegerDigits[s, b]][[-1]]; s = s + t]; s - Total[(#1 b^#2) & @@@ Transpose@ {Range[b - 1], Reverse@ (Range[b - 1] - 1)}], {b, 2, 8}] (* Michael De Vlieger, Jul 24 2015, after Hans Havermann at A260351 *)

CROSSREFS

Cf. A023811, A260351.

Sequence in context: A164063 A092828 A117844 * A067607 A013332 A223282

Adjacent sequences:  A260368 A260369 A260370 * A260372 A260373 A260374

KEYWORD

nonn,more,base

AUTHOR

Hans Havermann, Jul 23 2015

EXTENSIONS

a(14) from Giovanni Resta, Jul 24 2015

a(15)-a(22) from Hiroaki Yamanouchi, Aug 01 2015

STATUS

approved

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Last modified November 19 18:39 EST 2019. Contains 329323 sequences. (Running on oeis4.)