A265558 a(n) = smallest base-10 palindrome m >= n such that every base-10 digit of n is <= the corresponding digit of m.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 11, 22, 33, 44, 55, 66, 77, 88, 99, 22, 22, 22, 33, 44, 55, 66, 77, 88, 99, 33, 33, 33, 33, 44, 55, 66, 77, 88, 99, 44, 44, 44, 44, 44, 55, 66, 77, 88, 99, 55, 55, 55, 55, 55, 55, 66, 77, 88, 99, 66, 66, 66, 66, 66, 66, 66, 77, 88, 99, 77, 77, 77, 77, 77, 77, 77, 77, 88, 99, 88, 88

Offset

0,3

Links

Rémy Sigrist, Table of n, a(n) for n = 0..10000

Maple

For Maple code see A265543.

Prog

(PARI) a(n, base=10) = { my (d=digits(n, base)); for (k=1, #d\2, d[k]=d[#d+1-k]=max(d[k], d[#d+1-k])); fromdigits(d, base) } \\ Rémy Sigrist, Jun 24 2022

Crossrefs

Sequences related to palindromic floor and ceiling: A175298, A206913, A206914, A261423, A262038, and the large block of consecutive sequences beginning at A265509.

Cf. A265525.

Sequence in context: A033862 A329201 A262038 * A082273 A256755 A045876

Adjacent sequences: A265555 A265556 A265557 * A265559 A265560 A265561

Keyword

nonn,base

Author

N. J. A. Sloane, Dec 10 2015

Status

approved