A233269 a(n) = A055881(A001109(n)).

1, 3, 1, 3, 1, 3, 1, 4, 1, 3, 1, 3, 1, 3, 1, 4, 1, 3, 1, 3, 1, 3, 1, 5, 1, 3, 1, 3, 1, 3, 1, 4, 1, 3, 1, 3, 1, 3, 1, 4, 1, 3, 1, 3, 1, 3, 1, 7, 1, 3, 1, 3, 1, 3, 1, 4, 1, 3, 1, 3, 1, 3, 1, 4, 1, 3, 1, 3, 1, 3, 1, 5, 1, 3, 1, 3, 1, 3, 1, 4, 1, 3, 1, 3, 1, 3, 1, 4, 1, 3, 1, 3, 1, 3, 1

Offset: 1

Author

Antti Karttunen, Dec 06 2013

Keywords

• nonn

Comments

Compared to A233267, here the records occur in slightly different positions: 1, 2, 8, 24, 48, 384, 3456, ..., the record values being 1, 3, 4, 5, 7, 8, 9, ...

Lengths of palindromic prefixes begin: 1, 3, 5, 7, 15, 23, 47, 95, 143, 191, 239, 287, 335, 383, 767, 1151, 1535, 1919, 2303, 2687, 3071, 3455, ...

Their first differences: 2, 2, 2, 8, 8, 24, 48, 48, 48, 48, 48, 48, 48, 384, 384, 384, 384, 384, 384, 384, 384, ...

The positions of palindrome-centers: 1, 2, 3, 7, 11, 23, 47, 71, 95, 119, 143, 167, 191, 383, 575, 767, 959, 1151, 1343, 1535, 1727, ...

and their first differences: 1, 1, 1, 4, 4, 12, 24, 24, 24, 24, 24, 24, 24, 192, 192, 192, 192, 192, 192, 192, 192, ...

None of these are currently in the OEIS (except maybe record values).

Links

• Antti Karttunen, Table of n, a(n) for n = 1..6911

Crossrefs

Cf. A001109, A055881, A233267, A233285, A232096-A232098.

Programs

Scheme

(define (A233269 n) (A055881 (A001109 n)))