A382082 - OEIS

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

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OFFSET

1,3

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

LINKS

EXAMPLE

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

MATHEMATICA

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

PROG

(Magma) Rev := func<i | Seqint(Reverse(Intseq(i)))>;

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

CROSSREFS

Intersection of A000045 and A015976.

KEYWORD

nonn,base

AUTHOR

STATUS

approved