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A028567
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Numbers k such that k*(k+8) is a palindrome.
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2
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0, 1, 3, 66, 88, 91, 173, 216, 225, 284, 294, 696, 707, 924, 2235, 2828, 6996, 9394, 28314, 30031, 57489, 69996, 93844, 188583, 228175, 241097, 283778, 298144, 597883, 699996, 896478, 1934063, 2281817, 6999996, 7243225, 17646619, 17869169, 19782199, 23352327
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OFFSET
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1,3
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COMMENTS
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For i >= 0, 69^i6 is a term with corresponding palindrome 48(99)^{2*i}84, where ^ is repeated concatenation. - Michael S. Branicky, Jan 24 2022
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LINKS
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MATHEMATICA
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Select[Range[0, 8*10^6], PalindromeQ[#(#+8)]&] (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, May 28 2017 *)
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PROG
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(Python)
from itertools import count, islice
def ispal(n): s = str(n); return s == s[::-1]
def agen():
for k in count(0):
if ispal(k*(k+8)):
yield k
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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