A083850 -id:A083850 - 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

A083851 Decimal palindromes that are not multiples of 11.

Original entry on oeis.org

1, 2, 3, 4, 5, 6, 7, 8, 9, 101, 111, 131, 141, 151, 161, 171, 181, 191, 202, 212, 222, 232, 252, 262, 272, 282, 292, 303, 313, 323, 333, 343, 353, 373, 383, 393, 404, 414, 424, 434, 444, 454, 464, 474, 494, 505, 515, 525, 535, 545, 555, 565, 575, 585, 595, 606

Offset: 1

Reinhard Zumkeller, May 06 2003

A083850(a(n)) = 0; all members have odd length.

Charles R Greathouse IV, Table of n, a(n) for n = 1..10000

Cf. A083852, A002113, A008593.

max = 600; Complement[Select[Range[max], IntegerDigits[#] == Reverse[IntegerDigits[#]] &], 11Range[Ceiling[max/11]]] (* Alonso del Arte, May 11 2014 *)

is(n)=n%11 && subst(Polrev(digits(n)), 'x, 10)==n \\ Charles R Greathouse IV, May 14 2014

from itertools import chain, count, islice
def A083851_gen(): # generator of terms
    return filter(lambda n: n % 11,chain.from_iterable((int((s:=str(d))+s[-2::-1]) for d in range(10**l,10**(l+1))) for l in count(0)))
A083851_list = list(islice(A083851_gen(),20)) # Chai Wah Wu, Jun 23 2022

cp's OEIS Frontend

A083852 Decimal palindromes that are multiples of 11.

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