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Numbers k such that k^2+k+8 is a palindrome.
3

%I #15 Aug 11 2024 14:41:29

%S 0,29,202,285,2925,2935,20377,29570,297119,2834699,2837875,2990390,

%T 2997334,287010920,2926428849,202542945597,295431039629,

%U 21495814697072,21614586653852

%N Numbers k such that k^2+k+8 is a palindrome.

%H P. De Geest, <a href="https://www.worldofnumbers.com/quasimor.htm">Palindromic Quasi_Over_Squares of the form n^2+(n+X)</a>

%t palQ[n_] := Block[{d = IntegerDigits[n]}, d == Reverse[d]]; f[n_] := n^2 + n + 8; Select[Range[0, 3*10^5], palQ@ f@ # &] (* _Giovanni Resta_, Aug 29 2018 *)

%Y Cf. A027725, A027693, A027722, A027726.

%K nonn,base,more

%O 1,2

%A _Patrick De Geest_

%E a(14)-a(19) from _Giovanni Resta_, Aug 29 2018