OFFSET
1,1
COMMENTS
Terms > 9 in A089583 without digit "9". - M. F. Hasler, Apr 05 2009
This sequence excludes the trivial terms 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 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 terms.
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
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