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A260351 In base n, a(n) is the largest (decimal equivalent) number reached when one sequentially adds to a sum, starting with zero, the largest digit not in that sum. 2
1, 5, 30, 214, 1865, 22881, 342447, 6053444, 123456798, 2853116815, 73686782411, 2103299351346, 65751519678065, 2234152501943369, 81985529216487165, 3231407272993503256, 136146740744970718253, 6106233505124424781971, 290464265927977839351196 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,2

LINKS

Hiroaki Yamanouchi, Table of n, a(n) for n = 2..22

Frank Adams-Watters, Add the biggest absent digit, SeqFan list, July 21, 2015

EXAMPLE

In base 4:

0 + 3 = 3 (= 3)

3 + 2 = 5 (= 11)

5 + 3 = 8 (= 20)

8 + 3 = 11 (= 23)

11 + 1 = 12 (= 30)

12 + 2 = 14 (= 32)

14 + 1 = 15 (= 33)

15 + 2 = 17 (= 101)

17 + 3 = 20 (= 110)

20 + 3 = 23 (= 113)

23 + 2 = 25 (= 121)

25 + 3 = 28 (= 130)

28 + 2 = 30 (= 132)

30 + 0 = 30 (repeat, therefore a(4) = 30)

MATHEMATICA

Table[r=Range[0, b-1]; s=0; t=1; While[t!=0, t=Complement[r, IntegerDigits[s, b]][[-1]]; s=s+t]; s, {b, 2, 8}]

PROG

(Python)

from gmpy2 import digits

def A260351(n):

....r, c = set([digits(d, n) for d in range(n)]), 0

....dc = set(digits(c, n))

....while len(dc) < n-1 or '0' in dc:

........c += max([int(d, n) for d in r - dc])

........dc = set(digits(c, n))

....return c # Chai Wah Wu, Jul 24 2015

CROSSREFS

Cf. A260263, A260264.

Sequence in context: A001720 A051829 A323770 * A058247 A137965 A129695

Adjacent sequences:  A260348 A260349 A260350 * A260352 A260353 A260354

KEYWORD

nonn,base

AUTHOR

Hans Havermann, Jul 23 2015

EXTENSIONS

a(13) from Giovanni Resta, Jul 23 2015

a(14) from Giovanni Resta, Jul 24 2015

a(15)-a(20) from Hiroaki Yamanouchi, Aug 01 2015

STATUS

approved

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Last modified December 15 11:43 EST 2019. Contains 329999 sequences. (Running on oeis4.)