A382082 F(k) such that F(k) + (F(k) reversed) is a palindrome, where F(k) is a Fibonacci number.

0, 1, 2, 3, 13, 21, 34, 144, 233, 610, 4181, 832040, 102334155, 1134903170, 20365011074, 12200160415121876738

Offset: 1

Author

Vincenzo Librandi, Mar 21 2025

Keywords

• nonn
• base

Comments

Conjecture: The sequence appears to be finite.

The next term, F(k), has k > 3*10^5, if it exists. - Amiram Eldar, Mar 21 2025

Examples

			144 is in the sequence because 144 + 441 = 585 is a palindrome.
		

Crossrefs

Intersection of A000045 and A015976.

Cf. A002113, A004086, A004091, A352124.

Programs

Magma

Rev := func;
[0] cat  [Fibonacci(n): n in [2..2*10^4] | q eq Rev(q) where q is Fibonacci(n)+Rev(Fibonacci(n))];

Mathematica

DeleteDuplicates@ Select[Fibonacci[Range[0, 100]], PalindromeQ[# + IntegerReverse[#]] &] (* Amiram Eldar, Mar 21 2025 *)