This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A382082 #39 Mar 24 2025 13:01:57 %S A382082 0,1,2,3,13,21,34,144,233,610,4181,832040,102334155,1134903170, %T A382082 20365011074,12200160415121876738 %N A382082 F(k) such that F(k) + (F(k) reversed) is a palindrome, where F(k) is a Fibonacci number. %C A382082 Conjecture: The sequence appears to be finite. %C A382082 The next term, F(k), has k > 3*10^5, if it exists. - _Amiram Eldar_, Mar 21 2025 %e A382082 144 is in the sequence because 144 + 441 = 585 is a palindrome. %t A382082 DeleteDuplicates@ Select[Fibonacci[Range[0, 100]], PalindromeQ[# + IntegerReverse[#]] &] (* _Amiram Eldar_, Mar 21 2025 *) %o A382082 (Magma) Rev := func<i | Seqint(Reverse(Intseq(i)))>; %o A382082 [0] cat [Fibonacci(n): n in [2..2*10^4] | q eq Rev(q) where q is Fibonacci(n)+Rev(Fibonacci(n))]; %Y A382082 Intersection of A000045 and A015976. %Y A382082 Cf. A002113, A004086, A004091, A352124. %K A382082 nonn,base %O A382082 1,3 %A A382082 _Vincenzo Librandi_, Mar 21 2025