login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Numbers of the form F(i)-F(2j+1), i>=5, 1<=j<=(i-3)/2.
2

%I #10 Feb 10 2023 12:56:01

%S 3,6,8,11,16,19,21,29,32,42,50,53,55,76,84,87,110,131,139,142,144,199,

%T 220,228,231,288,343,364,372,375,377,521,576,597,605,608,754,898,953,

%U 974,982,985,987,1364,1508,1563,1584,1592,1595,1974,2351,2495,2550,2571,2579

%N Numbers of the form F(i)-F(2j+1), i>=5, 1<=j<=(i-3)/2.

%C Here F(i) denotes the i-th Fibonacci number (A000045).

%C The union of this sequence with A360531 and the integer 1 is the complement of A360528.

%H Jeffrey Shallit, <a href="https://arxiv.org/abs/2302.04640">Prefixes of the Fibonacci word</a>, Arxiv preprint arXiv:2302.04640 [cs.FL], February 9 2023.

%Y Cf. A000045, A360528, A360531.

%K nonn

%O 1,1

%A _Jeffrey Shallit_, Feb 10 2023