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A089584 Numbers n which are a strict multiple (>1) of A068505(n) (= n read in base m+1 where m = largest digit of n). 2
10, 21, 40, 100, 112, 120, 210, 306, 400, 516, 624, 630, 1000, 1010, 1102, 1320, 1344, 1422, 2223, 2240, 2301, 3430, 4000, 10000, 10100, 10101, 10356, 10360, 11220, 12320, 13440, 14220, 20202, 21112, 21210, 21416, 22400, 30303, 33036, 34300 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Also: Terms > 9 in A089583 without digit "9". - M. F. Hasler, Apr 05 2009

This sequence excludes the trivial members of A089583. Note that all single-digit numbers are excluded as they equal themselves when converted to base b+1. 3 in base 4 is 3 and of course divides evenly into the original value of 3. Note also that all numbers containing the digit 9 can only be interpreted as base-10 numbers, which of course divide themselves once and are therefore excluded. See sequence A089583 for the full sequence including trivial members.

LINKS

Table of n, a(n) for n=1..40.

EXAMPLE

a(5)=112 because 112 in base 3 yields 14 in base 10, which evenly divides 112 (112/14 = 8). a(21)=2301 because 2301 in base 4 yields 177, which evenly divides 2301 (2301/177=13).

PROG

(PARI) is_A089584(n, d, b)={ 10>(b=1+vecmax(d=eval(Vec(Str(n))))) & n%sum(i=1, #d, d[i]*b^(#d-i))==0 }

CROSSREFS

Cf. A054055 (largest digit of n), A068505 (n as base b+1 number where b=largest digit of n), A089583 (n mod A068505(n) = 0).

Sequence in context: A060852 A195142 A256884 * A192743 A280435 A095824

Adjacent sequences:  A089581 A089582 A089583 * A089585 A089586 A089587

KEYWORD

base,nonn

AUTHOR

Chuck Seggelin (barkeep(AT)plastereddragon.com), Nov 08 2003

EXTENSIONS

Definition reworded by M. F. Hasler, Apr 05 2009

STATUS

approved

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Last modified February 22 09:40 EST 2019. Contains 320390 sequences. (Running on oeis4.)