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 A373116 #13 May 26 2024 16:17:39 %S A373116 1,8,55,144,4181,17711,196418,1346269,259695496911122585 %N A373116 Fibonacci numbers whose digits product is a positive perfect power (A001597). %C A373116 Since the product of the digits of Fibonacci(k) is required to be positive, Fibonacci(k) does not have zero as a digit. For this reason this list is probably finite, since it is conjectured that there are only finitely many Fibonacci numbers that do not contain the digit zero (see A076564). If the conjecture is true, the largest number possessing the property would be Fibonacci(85) = 259695496911122585 whose digit product is 194400^2. %C A373116 Unlike A373049, here the product uses all the digits of Fibonacci(k). %e A373116 196418 is a term, because Fibonacci(27) = 196418 and the product of its digits is 1*9*6*4*1*8 = 12^3. %t A373116 powQ[n_] := n == 1 || GCD @@ FactorInteger[n][[;; , 2]] > 1; Select[Fibonacci[Range[2, 100]], powQ[Times @@ IntegerDigits[#]] &] (* _Amiram Eldar_, May 25 2024 *) %Y A373116 Cf. A000045, A001597, A076564, A246558, A370071, A373049. %K A373116 nonn,base,more %O A373116 1,2 %A A373116 _Gonzalo MartÃnez_, May 25 2024