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A028558 Numbers k such that k*(k+5) is a palindrome. 1

%I #29 May 05 2024 08:56:12

%S 0,1,6,18,24,202,203,814,2067,2178,2207,20402,25116,64493,82566,

%T 207067,2040402,2187142,2233097,6887078,79585891,211313148,249281986,

%U 8161664181,22222222222,26331005924,81294635989,2008491060208,2048192235518,2228557243297,2471952825156

%N Numbers k such that k*(k+5) is a palindrome.

%C a(34) > 10^13

%H Lior Manor, <a href="/A028558/b028558.txt">Table of n, a(n) for n = 1..33</a>

%H Patrick De Geest, <a href="http://www.worldofnumbers.com/consemor.htm">Palindromic Quasipronics of the form n(n+x)</a>

%H Erich Friedman, <a href="https://erich-friedman.github.io/numbers.html">What's Special About This Number?</a> (See entries 814, 2067.)

%o (Python)

%o from itertools import count, islice

%o def ispal(n): s = str(n); return s == s[::-1]

%o def agen():

%o for k in count(0):

%o if ispal(k*(k+5)):

%o yield k

%o print(list(islice(agen(), 20))) # _Michael S. Branicky_, Jan 24 2022

%K nonn,base,changed

%O 1,3

%A _Patrick De Geest_

%E a(21)-a(27) from _Michael S. Branicky_, Jan 24 2022

%E a(28)-a(31) from _Lior Manor_, May 05 2024

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Last modified May 8 19:26 EDT 2024. Contains 372341 sequences. (Running on oeis4.)