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 A005347 M0690 #49 Apr 18 2025 09:57:37
%S A005347 1,1,1,1,2,3,5,8,13,20,34,53,88,143,236,387,641,1061,1763,2937,4903,
%T A005347 8202,13750,23095,38850,65461,110465,186665,315827,535011,907341,
%U A005347 1540416,2617782,4452846,7581016,12917486,22027745,37591270,64196610
%N A005347 First differences of A005579.
%C A005347 This is example 42 in Guy's paper. a(2)-a(8) are the same as the Fibonacci sequence A000045. Subsequent terms deviate from Fibonacci. - _T. D. Noe_, May 08 2006
%D A005347 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H A005347 Amiram Eldar, <a href="/A005347/b005347.txt">Table of n, a(n) for n = 0..43</a>
%H A005347 Richard K. Guy, <a href="/A000081/a000081.pdf">Letter to N. J. A. Sloane, 1988-04-12</a> (annotated scanned copy).
%H A005347 Richard K. Guy, <a href="/A005347/a005347_1.pdf">Letters to N. J. A. Sloane, 1986-88</a>.
%H A005347 Richard K. Guy, <a href="http://www.jstor.org/stable/2691503">The Second Strong Law of Small Numbers</a>, Math. Mag, 63 (1990), no. 1, 3-20.
%H A005347 Richard K. Guy, <a href="/A005347/a005347.pdf">The Second Strong Law of Small Numbers</a>, Math. Mag, 63 (1990), no. 1, 3-20. [Annotated scanned copy]
%H A005347 Richard Laatsch, <a href="http://www.jstor.org/stable/2690424">Measuring the abundancy of integers</a>, Mathematics Magazine 59 (2) (1986) 84-92.
%F A005347 a(n) = A005579(n+1) - A005579(n) - _T. D. Noe_, May 08 2006
%t A005347 prod = Interval[1]; k = k0 = 0; Join[{1, 1}, Table[While[Max[prod] <= n, k++; p = Prime[k]; prod = N[prod*p/(p - 1), 30]]; If[Min[prod] > n, If[k > 2, Print[k - k0] ]; k0 = k; k, "too few digits"], {n, 2, 39}] // Differences] (* _Jean-François Alcover_, Oct 07 2016, using _T. D. Noe_'s code for A005579 *)
%Y A005347 Cf. A000045, A005579.
%K A005347 nonn,nice
%O A005347 0,5
%A A005347 _N. J. A. Sloane_, _R. K. Guy_, Apr 12 1988
%E A005347 More terms from _Harvey P. Dale_, Aug 07 2013
%E A005347 Offset changed to 0, a(0) prepended, and a(1) inserted by _Amiram Eldar_, Apr 18 2025