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 A218076 #41 Feb 16 2025 08:33:18 %S A218076 3,6,12,19,38,42,68,243,384,515,740,1709,5151,11049,45641,94729, %T A218076 185610,644593,726681,2296396,3098358,6178778,15743325,22436908, %U A218076 80141430,84300971,127495932,177416979,198423144,275354607 %N A218076 Indices of positive Fibonacci numbers whose binary expansions have record numbers of consecutive zeros. %C A218076 Positions of records in the auxiliary sequence 0, 0, 0, 1, 0, 1, 3, 1, 1, 3, 1, 2, 4, 2, 2, 3, 1, 3, 4, 5, 2,... = A087117(Fibonacci(n)). - _R. J. Mathar_, Nov 05 2012 %H A218076 Peter Polm, <a href="http://bigintegers.blogspot.de/2013/02/a218076-three-more-with-c-on-64-bits.html">A218076 three more with C on 64 bits Linux</a> (BigInteger Algorithms blog). %H A218076 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/FibonacciNumber.html">Fibonacci Number</a> %e A218076 The first four records occur at 3, 6, 12, and 19: %e A218076 F(3) = 10_2 (one zero), %e A218076 F(6) = 1000_2 (three zeros), %e A218076 F(12) = 10010000_2 (four zeros), and %e A218076 F(19) = 1000001010101_2 (five zeros). %e A218076 For the n=6178778, F(6178778) has 43 consecutive zeros. %Y A218076 Cf. A059016, A087117. %K A218076 base,nonn %O A218076 1,1 %A A218076 _Peter Polm_, Oct 20 2012 %E A218076 More terms from _Peter Polm_'s web site, _Joerg Arndt_, Aug 18 2014