cp's OEIS Frontend

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.

A039595 Positive Fibonacci numbers that are also triangular numbers.

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%I A039595 #34 Jul 07 2025 01:09:47
%S A039595 1,3,21,55
%N A039595 Positive Fibonacci numbers that are also triangular numbers.
%C A039595 Vern Hoggatt conjectured and Luo Ming confirmed that these are all the terms. - _Tomohiro Yamada_, Sep 23 2017
%D A039595 Jean-Marie De Koninck, Ces nombres qui nous fascinent, Entry 55, p. 20, Ellipses, Paris, 2008.
%D A039595 Richard K. Guy, Unsolved Problems in Number Theory, Springer, 1st edition, 1981. See section D26.
%D A039595 James J. Tattersall, Elementary Number Theory in Nine Chapters, Cambridge University Press, 1999, page 28.
%D A039595 David Wells, Curious and interesting numbers, Penguin Books, p. 108.
%H A039595 Luo Ming, <a href="https://www.fq.math.ca/Scanned/27-2/ming.pdf">On Triangular Fibonacci Numbers</a>, Fibonacci Quart. 27 (1989), 98-108.
%t A039595 Union[Select[Fibonacci[Range[20]],OddQ[Sqrt[8#+1]]&]] (* _Harvey P. Dale_, Jan 17 2015 *)
%Y A039595 Cf. A000045, A000217.
%K A039595 nonn,fini,full
%O A039595 1,2
%A A039595 _Felice Russo_