A043041 -id:A043041 - cp's OEIS frontend

A083852 Decimal palindromes that are multiples of 11.

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

Reinhard Zumkeller, May 06 2003

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

Jeppe Stig Nielsen, Table of n, a(n) for n = 1..1908

Intersection of A002113 and A008593.

Cf. A029951, A045638, A045639, A043040, A043041, A045642, A045643, A045644, A083851.

Select[Range[0, 5500, 11], PalindromeQ] (* Paolo Xausa, Jul 07 2025 *)

forstep(k=0, 10^5, 11, d=digits(k); d==Vecrev(d) && print1(k, ", ")) \\ Jeppe Stig Nielsen, May 08 2020

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

Jeff Burch

Paolo Xausa, Table of n, a(n) for n = 1..2000

Intersection of A002113 and A008590.

Cf. A029951, A045638, A045639, A043040, A043041, A045642, A045644, A083852.

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 *)

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

Jeff Burch

Harvey P. Dale, Table of n, a(n) for n = 1..1001

Intersection of A002113 and A008591.

Cf. A029951, A045638, A045639, A043040, A043041, A045642, A045643, A083852.

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

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

cp's OEIS Frontend

A083852 Decimal palindromes that are multiples of 11.

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A045643 Palindromic and divisible by 8.

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A045644 Palindromic and divisible by 9.

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Author

Keywords

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Programs

Mathematica

Extensions