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A345361
Numbers that are not palindromes even after removing trailing zeros and are divisible by their reverses.
0
510, 540, 810, 2100, 4200, 5100, 5200, 5400, 5610, 5700, 5940, 6300, 8100, 8400, 8712, 8910, 9801, 21000, 23100, 27000, 42000, 46200, 51000, 51510, 52000, 52200, 52800, 54000, 54540, 56100, 56610, 57000, 57200, 59400, 59940, 63000, 65340, 69300, 81000, 81810, 84000, 87120
OFFSET
1,1
COMMENTS
Palindromes with or without trailing zeros are trivially divisible their reverses.
If k is in the sequence then 10*k is in the sequence. - David A. Corneth, Jun 16 2021
EXAMPLE
510 is divisible by its reverse 15. Thus, 510 is in this sequence.
PROG
(Python)
def pal(s): return s == s[::-1]
def rmz(s): return s.strip('0')
def ok(n): s = str(n); return not (pal(s) or pal(rmz(s)) or n%int(s[::-1]))
print(list(filter(ok, range(82000)))) # Michael S. Branicky, Jun 16 2021
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Tanya Khovanova, Jun 16 2021
STATUS
approved