A083851 Decimal palindromes that are not multiples of 11.

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

1,2

Comments

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

Links

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

Mathematica

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

Prog

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

Crossrefs

Cf. A083852, A002113, A008593.

Sequence in context: A056142 A056525 A071272 * A071275 A050783 A030147

Adjacent sequences: A083848 A083849 A083850 * A083852 A083853 A083854

Keyword

nonn,base

Author

Reinhard Zumkeller, May 06 2003

Status

approved