A027715 -id:A027715 - cp's OEIS frontend

A027713 Palindromes of form k^2 + k + 2.

2, 4, 8, 22, 44, 212, 242, 464, 2552, 8558, 40604, 41414, 85558, 229922, 805508, 2029202, 2342432, 2737372, 4006004, 4437344, 4767674, 281585182, 400060004, 440727044, 805282508, 8059999508, 40000600004, 47997579974, 251476674152, 2626540456262, 2728292928272

Offset: 1

Patrick De Geest

Palindromes h such that 4*h - 7 is a square. - Bruno Berselli, Aug 29 2018

Giovanni Resta, Table of n, a(n) for n = 1..65
Patrick De Geest, Palindromic Quasi_Over_Squares of the form n^2+(n+X)

Cf. A014206, A027712, A028414, A027715.

[m: n in [0..10^7] | Intseq(m) eq Reverse(Intseq(m)) where m is n^2+n+2]; // Vincenzo Librandi, Mar 27 2011

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 *)

More terms from Giovanni Resta, Aug 28 2018

A027714 Numbers k such that k^2+k+3 is a palindrome.

Original entry on oeis.org

0, 1, 2, 5, 19, 23, 60, 71, 175, 179, 184, 243, 753, 2431, 6154, 23111, 30947, 73188, 75146, 230663, 237721, 598350, 3093852, 5492899, 17605724, 18886025, 30909092, 62127180, 76675186, 177865385, 230098566, 309230287, 549199524, 589167859, 726714741

Offset: 1

Patrick De Geest

Giovanni Resta, Table of n, a(n) for n = 1..50
P. De Geest, Palindromic Quasi_Over_Squares of the form n^2+(n+X)

Cf. A027715, A027688, A027752, A027753, A027712, A027716.

npalQ[n_]:=Module[{c=n^2+n+3},c==IntegerReverse[c]]; Select[Range[ 0,31*10^5],npalQ] (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, Aug 15 2016 *)

More terms from Giovanni Resta, Aug 29 2018

A027717 Palindromes of form k^2 + k + 4.

Original entry on oeis.org

4, 6, 424, 40204, 48184, 68386, 4002004, 4992994, 6510156, 6830386, 400020004, 424545424, 40000200004, 41162526114, 42314341324, 47678687674, 4000002000004, 4644626264464, 6201427241026, 6866949496686, 400000020000004, 669896222698966, 40000000200000004

Offset: 1

Patrick De Geest

Giovanni Resta, Table of n, a(n) for n = 1..36
P. De Geest, Palindromic Quasi_Over_Squares of the form n^2+(n+X)

Cf. A027716, A027689, A027715, A027728.

Select[Table[n^2+n+4,{n,0,25*10^5}],IntegerDigits[#] == Reverse[ IntegerDigits[ #]]&] (* Harvey P. Dale, Mar 05 2015 *)
Select[Table[n^2+n+4,{n,0,25*10^5}],PalindromeQ] (* Harvey P. Dale, Dec 23 2023 *)

More terms from Giovanni Resta, Aug 29 2018

cp's OEIS Frontend

A027713 Palindromes of form k^2 + k + 2.

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A027714 Numbers k such that k^2+k+3 is a palindrome.

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A027717 Palindromes of form k^2 + k + 4.

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