A117778 Total number of palindromic primes in base 4 with n digits.

2, 1, 3, 0, 10, 0, 29, 0, 97, 0, 293, 0, 982, 0, 3385, 0, 11631, 0, 41375, 0, 152900, 0, 541525, 0, 1996031, 0, 7463249, 0, 27801721, 0, 102404054, 0

Offset

1,1

Comments

Every palindrome with an even number of digits is divisible by 11 (in base 4) and therefore is composite (not prime). Hence there is only one palindromic prime with an even number of digits.

Links

Table of n, a(n) for n=1..32.

Eric Weisstein: Palindromic Prime.

Crossrefs

Cf. A029972, A117699.

Sequence in context: A248967 A331094 A160169 * A072127 A186976 A160550

Adjacent sequences: A117775 A117776 A117777 * A117779 A117780 A117781

Keyword

nonn,base

Author

Martin Renner, Apr 15 2006

Extensions

a(13)-a(32) from Chai Wah Wu, Dec 27 2015

Status

approved