A345361 Numbers that are not palindromes even after removing trailing zeros and are divisible by their reverses.

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

Links

Table of n, a(n) for n=1..42.

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

Cf. A002113, A004086, A169824.

Sequence in context: A062905 A062914 A071687 * A048254 A303994 A249551

Adjacent sequences: A345358 A345359 A345360 * A345362 A345363 A345364

Keyword

nonn,base

Author

Tanya Khovanova, Jun 16 2021

Status

approved