cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-9 of 9 results.

A029951 Even palindromes.

Original entry on oeis.org

0, 2, 4, 6, 8, 22, 44, 66, 88, 202, 212, 222, 232, 242, 252, 262, 272, 282, 292, 404, 414, 424, 434, 444, 454, 464, 474, 484, 494, 606, 616, 626, 636, 646, 656, 666, 676, 686, 696, 808, 818, 828, 838, 848, 858, 868, 878, 888, 898, 2002, 2112, 2222
Offset: 1

Views

Author

Patrick De Geest

Keywords

Links

Crossrefs

Cf. A002113 (superset), A062287 (subset), A367807 (halved).
Cf. A045638, A045639, A043040, A045641, A045642, A045643, A045644, A083852.

Programs

  • Mathematica
    palindromicQ[n_, b_:10] := TrueQ[IntegerDigits[n, b] == Reverse[IntegerDigits[n, b]]]; Select[Range[2, 10^4, 2], palindromicQ[#] &] (* Alonso del Arte, Feb 23 2012 *)
Select[Range[0, 2222, 2], PalindromeQ] (* Michael De Vlieger, May 12 2017, Version 10.3 *)

A083852 Decimal palindromes that are multiples of 11.

Original entry on oeis.org

0, 11, 22, 33, 44, 55, 66, 77, 88, 99, 121, 242, 363, 484, 616, 737, 858, 979, 1001, 1111, 1221, 1331, 1441, 1551, 1661, 1771, 1881, 1991, 2002, 2112, 2222, 2332, 2442, 2552, 2662, 2772, 2882, 2992, 3003, 3113, 3223, 3333, 3443, 3553, 3663, 3773, 3883, 3993, 4004
Offset: 1

Views

Author

Reinhard Zumkeller, May 06 2003

Keywords

Comments

A083850(a(n))>0; palindromes with even length are terms.

Links

Crossrefs

Intersection of A002113 and A008593.
Cf. A029951, A045638, A045639, A043040, A043041, A045642, A045643, A045644, A083851.

Programs

  • Mathematica
    Select[Range[0, 5500, 11], PalindromeQ] (* Paolo Xausa, Jul 07 2025 *)
  • PARI
    forstep(k=0, 10^5, 11, d=digits(k); d==Vecrev(d) && print1(k, ", ")) \\ Jeppe Stig Nielsen, May 08 2020

A043040 Numbers that are palindromic and divisible by 5.

Original entry on oeis.org

0, 5, 55, 505, 515, 525, 535, 545, 555, 565, 575, 585, 595, 5005, 5115, 5225, 5335, 5445, 5555, 5665, 5775, 5885, 5995, 50005, 50105, 50205, 50305, 50405, 50505, 50605, 50705, 50805, 50905, 51015, 51115, 51215, 51315, 51415, 51515, 51615, 51715, 51815, 51915
Offset: 1

Views

Author

Clark Kimberling

Keywords

Comments

Or, 0 and numbers that are palindromic and begin with 5.

Links

Crossrefs

Intersection of A002113 and A008587.
Cf. A029951, A045638, A045639, A045641, A045642, A045643, A045644, A083852.

Programs

  • Mathematica
    palQ[n_Integer, base_Integer] := Module[{idn = IntegerDigits[n, base]}, idn == Reverse[idn]];
Join[{0},Select[Range[5,100000,5], IntegerDigits[#][[1]] == 5 && palQ[#, 10] &]] (* T. D. Noe, Mar 12 2013 *)
Select[5*Range[0,11000],IntegerDigits[#]==Reverse[IntegerDigits[#]]&] (* Harvey P. Dale, Nov 29 2015 *)

Extensions

Edited to include a(1) = 0 by Paolo Xausa, Jul 07 2025

A045638 Palindromic and divisible by 3.

Original entry on oeis.org

0, 3, 6, 9, 33, 66, 99, 111, 141, 171, 222, 252, 282, 303, 333, 363, 393, 414, 444, 474, 525, 555, 585, 606, 636, 666, 696, 717, 747, 777, 828, 858, 888, 909, 939, 969, 999, 1221, 1551, 1881, 2112, 2442, 2772, 3003, 3333, 3663, 3993, 4224, 4554, 4884, 5115
Offset: 1

Views

Author

Jeff Burch

Keywords

Links

Crossrefs

Intersection of A002113 and A008585.
Cf. A029951, A045639, A043040, A045641, A045642, A045643, A045644, A083852.

Programs

  • Mathematica
    Select[Range[0,5500,3],PalindromeQ] (* Harvey P. Dale, Apr 14 2023 *)

Extensions

Edited to include a(1) = 0 by Paolo Xausa, Jul 07 2025

A045639 Palindromic and divisible by 4.

Original entry on oeis.org

0, 4, 8, 44, 88, 212, 232, 252, 272, 292, 404, 424, 444, 464, 484, 616, 636, 656, 676, 696, 808, 828, 848, 868, 888, 2112, 2332, 2552, 2772, 2992, 4004, 4224, 4444, 4664, 4884, 6116, 6336, 6556, 6776, 6996, 8008, 8228, 8448, 8668, 8888, 21012, 21112, 21212
Offset: 1

Views

Author

Jeff Burch

Keywords

Links

Crossrefs

Intersection of A002113 and A008586.
Cf. A029951, A045638, A043040, A045641, A045642, A045643, A045644, A083852.

Programs

  • Mathematica
    palQ[n_]:=Module[{idn=IntegerDigits[n]},idn==Reverse[idn]]; Select[4*Range[0, 6000],palQ]  (* Harvey P. Dale, Jan 30 2011 *)

Extensions

Edited to include a(1) = 0 by Paolo Xausa, Jul 07 2025

A045643 Palindromic and divisible by 8.

Original entry on oeis.org

0, 8, 88, 232, 272, 424, 464, 616, 656, 696, 808, 848, 888, 2112, 2552, 2992, 4224, 4664, 6336, 6776, 8008, 8448, 8888, 21112, 21312, 21512, 21712, 21912, 23032, 23232, 23432, 23632, 23832, 25152, 25352, 25552, 25752, 25952, 27072, 27272, 27472
Offset: 1

Views

Author

Jeff Burch

Keywords

Links

Crossrefs

Intersection of A002113 and A008590.
Cf. A029951, A045638, A045639, A043040, A043041, A045642, A045644, A083852.

Programs

  • Mathematica
    palQ[n_]:=Module[{idn=IntegerDigits[n]},idn==Reverse[idn]];Select[ 8Range[0,3500],palQ] (* Harvey P. Dale, Jun 06 2011 *)
Select[8*Range[0, 3500],PalindromeQ] (* Harvey P. Dale, Feb 17 2023 *)

Extensions

Edited to include a(1) = 0 by Paolo Xausa, Jul 07 2025

A045644 Palindromic and divisible by 9.

Original entry on oeis.org

0, 9, 99, 171, 252, 333, 414, 585, 666, 747, 828, 909, 999, 1881, 2772, 3663, 4554, 5445, 6336, 7227, 8118, 9009, 9999, 10701, 11511, 12321, 13131, 14841, 15651, 16461, 17271, 18081, 18981, 19791, 20502, 21312, 22122, 23832, 24642, 25452, 26262
Offset: 1

Views

Author

Jeff Burch

Keywords

Links

Crossrefs

Intersection of A002113 and A008591.
Cf. A029951, A045638, A045639, A043040, A043041, A045642, A045643, A083852.

Programs

  • Mathematica
    Select[9*Range[0,3000],PalindromeQ] (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, Mar 30 2020 *)

Extensions

Edited to include a(1) = 0 by Paolo Xausa, Jul 07 2025

A045641 Palindromes that are divisible by 6.

Original entry on oeis.org

0, 6, 66, 222, 252, 282, 414, 444, 474, 606, 636, 666, 696, 828, 858, 888, 2112, 2442, 2772, 4224, 4554, 4884, 6006, 6336, 6666, 6996, 8118, 8448, 8778, 20202, 20502, 20802, 21012, 21312, 21612, 21912, 22122, 22422, 22722, 23232, 23532, 23832
Offset: 1

Views

Author

Jeff Burch

Keywords

Links

Crossrefs

Intersection of A002113 and A008588.
Cf. A029951, A045638, A045639, A043040, A045642, A045643, A045644, A083852.

Programs

  • Mathematica
    Select[Range[0,30000,6], PalindromeQ] (* Paolo Xausa, Jul 06 2025 *)

A175460 Numbers n such that R(7*n) is not palindromic and R(7*n) is divisible by 7.

Original entry on oeis.org

24, 37, 123, 136, 144, 153, 154, 166, 167, 179, 192, 205, 218, 228, 231, 241, 243, 244, 254, 266, 267, 279, 287, 296, 297, 309, 322, 335, 348, 361, 371, 373, 374, 383, 384, 386, 387, 397, 409, 422, 439, 452, 465, 478, 491, 503, 504, 513, 514, 516, 517, 526
Offset: 1

Views

Author

Zak Seidov, May 23 2010

Keywords

Comments

n is not divisible by 10, 7*n is not in A045642, and R(7*n) is divisible by 7.

Examples

			R(7*{24,37,123})=R({168,259,861})={861,952,168}=7*{123,136,24}.

Crossrefs

Cf. A004086 R(n), A045642 Palindromic and divisible by 7.
Showing 1-9 of 9 results.

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