A265514 a(n) = largest base-4 palindrome m <= n such that every base-4 digit of m is <= the corresponding digit of n; m is written in base 4.

0, 1, 2, 3, 0, 11, 11, 11, 0, 11, 22, 22, 0, 11, 22, 33, 0, 101, 101, 101, 0, 111, 111, 111, 0, 121, 121, 121, 0, 131, 131, 131, 0, 101, 202, 202, 0, 111, 212, 212, 0, 121, 222, 222, 0, 131, 232, 232, 0, 101, 202, 303, 0, 111, 212, 313, 0, 121, 222, 323, 0, 131, 232, 333, 0, 1001, 1001, 1001, 0, 1001, 1001, 1001, 0

Offset

0,3

Links

Table of n, a(n) for n=0..72.

Crossrefs

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

Sequence in context: A012652 A012404 A002099 * A219341 A059740 A005160

Adjacent sequences: A265511 A265512 A265513 * A265515 A265516 A265517

Keyword

nonn,base

Author

N. J. A. Sloane, Dec 09 2015

Status

approved