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A325322 Palindromes in base 10 that are Brazilian. 1
7, 8, 22, 33, 44, 55, 66, 77, 88, 99, 111, 121, 141, 161, 171, 202, 212, 222, 232, 242, 252, 262, 272, 282, 292, 303, 323, 333, 343, 363, 393, 404, 414, 424, 434, 444, 454, 464, 474, 484, 494, 505, 515, 525, 535, 545, 555, 565, 575, 585, 595, 606, 616, 626, 636, 646, 656, 666, 676, 686, 696, 707, 717, 737 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Among the terms of this sequence, there are (not exhaustive):

- the even palindromes >= 8,

- the palindromes >= 55 that end with 5,

- the palindromes >= 22 with an even number of digits for they are divisible by 11, and also,

- the palindromes that are Brazilian primes such as 7, 757, 30103, ...

LINKS

Table of n, a(n) for n=1..64.

EXAMPLE

141 = (33)_46 is a palindrome that is Brazilian.

PROG

(PARI) isb(n) = for(b=2, n-2, my(d=digits(n, b)); if(vecmin(d)==vecmax(d), return(1))); \\ A125134

isp(n) = my(d=digits(n)); d == Vecrev(d); \\ A002113

isok(n) = isb(n) && isp(n); \\ Michel Marcus, Apr 22 2019

CROSSREFS

Intersection of A002113 and A125134.

Complement of A325323 with respect to A002113.

Cf. A288068 (subsequence).

Sequence in context: A132899 A051175 A322651 * A288068 A058537 A002362

Adjacent sequences:  A325319 A325320 A325321 * A325323 A325324 A325325

KEYWORD

nonn,base

AUTHOR

Bernard Schott, Apr 20 2019

STATUS

approved

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Last modified September 19 07:24 EDT 2020. Contains 337178 sequences. (Running on oeis4.)