A027729 Numbers k such that k^2+k+6 is a palindrome.

0, 1, 24, 25, 28, 288, 2485, 2550, 2888, 2946, 28888, 146777, 264334, 288888, 292276, 2834101, 2873233, 2888888, 2952316, 2960816, 2985943, 2995631, 14604657, 16353547, 28888888, 29190748, 29585508, 148278137, 264056434, 288888888, 2853889203, 2931604151, 28988127118

Offset: 1

Author

Patrick De Geest

Keywords

• nonn
• base

Links

• Patrick De Geest, Palindromic Quasi_Over_Squares of the form n^2+(n+X)

Crossrefs

Cf. A027721, A027691, A027718, A027722.

Programs

Magma

[n: n in [0..3*10^6] | Intseq(n^2+n+6) eq Reverse(Intseq(n^2+n+6))]; // Vincenzo Librandi, Jun 16 2016

Mathematica

palOblongPlus6Q[n_] := Module[{d = IntegerDigits[n^2 + n + 6]}, d == Reverse[d]]; Select[Range[0, 3000000],  palOblongPlus6Q] (* Harvey P. Dale, Nov 14 2012 *)

Extensions

a(23)-a(33) from Giovanni Resta, Aug 27 2018