A260371 - OEIS

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, 3, 20, 0, 6, 56, 0, 9, 110, 1848, 12, 208, 210, 270, 272, 0, 124182, 16017

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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