%I #25 Sep 08 2022 08:44:49
%S 2,4,8,22,44,212,242,464,2552,8558,40604,41414,85558,229922,805508,
%T 2029202,2342432,2737372,4006004,4437344,4767674,281585182,400060004,
%U 440727044,805282508,8059999508,40000600004,47997579974,251476674152,2626540456262,2728292928272
%N Palindromes of form k^2 + k + 2.
%C Palindromes h such that 4*h - 7 is a square. - _Bruno Berselli_, Aug 29 2018
%H Giovanni Resta, <a href="/A027713/b027713.txt">Table of n, a(n) for n = 1..65</a>
%H Patrick De Geest, <a href="http://www.worldofnumbers.com/quasimor.htm">Palindromic Quasi_Over_Squares of the form n^2+(n+X)</a>
%t palQ[n_] := Module[{idn = IntegerDigits[n]}, idn == Reverse[idn]]; Select[Table[n^2 + n + 2, {n, 0, 502000}], palQ] (* _Harvey P. Dale_, Sep 15 2011 *)
%o (Magma) [m: n in [0..10^7] | Intseq(m) eq Reverse(Intseq(m)) where m is n^2+n+2]; // _Vincenzo Librandi_, Mar 27 2011
%Y Cf. A014206, A027712, A028414, A027715.
%K nonn,base
%O 1,1
%A _Patrick De Geest_
%E More terms from _Giovanni Resta_, Aug 28 2018