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 A272355 #38 Jan 08 2025 13:10:48
%S A272355 1,161,34561,8346401,2150012161,576914365601,44861726436508961,
%T A272355 12840299190293644801,3721082815965949056161,
%U A272355 321507757074243457409731361,28572486227889263832443550935201,8586901708088882505643582648796161
%N A272355 Numbers of the form Fibonacci(12n)/(144n).
%C A272355 The last two digits end either in 01 or 61. Digital root alternates 1 and 8.
%C A272355 Consecutive terms have ratios that approximate the product of Golden Ratio powers of multiples of 12 and consecutive integers fractions: E.g., the 4th term divided by the 3rd term approximates Golden Ratio^12 * 3/4; the 10th term divided by the 9th term approximates Golden Ratio^24 * 5/6; and the 16th term divided by the 15 term is a close approximation of Golden Ratio^48 * 5/6, etc.
%F A272355 a(n) = Integer Values of Fib(12n)/(144n)
%e A272355 a(3) = Fib(12*3)/(144*3) = Fib36 / 432 = 34561; therefore, the third term is the integer 34561.
%t A272355 Select[Table[Fibonacci[12n]/(144n),{n,20}],IntegerQ] (* _Harvey P. Dale_, Sep 26 2016 *)
%o A272355 (PARI) for(n=1,100, t=fibonacci(12*n)/144/n; if(denominator(t)==1, print1(t", "))) \\ _Charles R Greathouse IV_, Apr 30 2016
%Y A272355 Cf. A072378.
%K A272355 nonn,easy
%O A272355 1,2
%A A272355 _Peter M. Chema_, Apr 29 2016