A028414 -id:A028414 - 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

A028413 Numbers k such that k^2 + k + 1 is a palindrome.

Original entry on oeis.org

0, 1, 2, 10, 18, 27, 100, 125, 173, 1000, 1120, 1184, 1355, 1836, 1876, 1961, 10000, 11915, 100000, 119084, 126935, 187876, 188348, 192383, 196813, 1000000, 1010200, 1190915, 1228425, 1780728, 1821636, 1975356, 10000000, 11842184, 12643549, 12783239, 18016058

Offset: 1

Patrick De Geest

Giovanni Resta, Table of n, a(n) for n = 1..68
P. De Geest, Palindromic quasi_over_squares of the form n^2+(n+1)

Cf. A002113, A028414, A028336, A027712.

palQ[n_] := Block[{d = IntegerDigits[n]}, d == Reverse[d]]; f[n_] := n^2 + n + 1; Select[Range[0, 10^5], palQ@ f@ # &] (* Giovanni Resta, Aug 29 2018 *)

More terms from Giovanni Resta, Aug 28 2018

A086143 Palindromes of the form n^3 + n^2 + n + 1.

Original entry on oeis.org

4, 585, 1111, 99499, 1010101, 1001001001, 1000100010001, 1000010000100001, 1000001000001000001, 1000000100000010000001, 1000000010000000100000001, 1000000001000000001000000001, 1000000000100000000010000000001

Offset: 1

Karl Goiser (kggoiser(AT)utas.edu.au), Aug 24 2003

Values of n are 1, 8, 10, 46, 100, 1000, etc.

Index entries for linear recurrences with constant coefficients, signature (1111,-112110,1111000,-1000000).

Sequence A028414 deals with n^2 + n + 1.

f[n_] := (n^3 + n^2 + n + 1); a = Select[ Range[10^7], FromDigits[ Reverse[ IntegerDigits[ f[ # ]]]] == f[ # ] & ]; a^3 + a^2 + a + 1
Select[Table[n^3+n^2+n+1,{n,10^7}],#==IntegerReverse[#]&] (* The program uses the IntegerReverse function from Mathematica version 10 *) (* Harvey P. Dale, Apr 14 2016 *)

More terms from Robert G. Wilson v, Sep 01 2003

More terms fdrom Harvey P. Dale, Apr 14 2016

cp's OEIS Frontend

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

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A028413 Numbers k such that k^2 + k + 1 is a palindrome.

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A086143 Palindromes of the form n^3 + n^2 + n + 1.

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Author

Keywords

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Programs

Mathematica

Extensions