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.

A285760 a(n) = a(n - 2 - a(n - 1)) + a(n - 2 - a(n - 4)), with a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 2.

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%I A285760 #7 Apr 26 2017 22:43:06
%S A285760 1,1,2,2,2,3,3,4,4,4,5,5,6,7,7,7,8,8,8,9,9,10,11,11,12,12,13,13,14,14,
%T A285760 14,15,15,16,16,16,17,17,18,19,19,20,20,21,21,22,23,23,23,24,24,25,25,
%U A285760 26,27,27,27,28,28,28,29,29,30,31,31
%N A285760 a(n) = a(n - 2 - a(n - 1)) + a(n - 2 - a(n - 4)), with a(1) = 1, a(2) = 1, a(3) = 2, a(4) = 2.
%C A285760 The sequence a(n) is monotonic, with successive terms increasing by 0 or 1. So the sequence hits every positive integer.
%H A285760 Nathan Fox, <a href="/A285760/b285760.txt">Table of n, a(n) for n = 1..10000</a>
%H A285760 A. Isgur, R. Lech, S. Moore, S. Tanny, Y. Verberne, and Y. Zhang, <a href="http://dx.doi.org/10.1137/15M1040505">Constructing New Families of Nested Recursions with Slow Solutions</a>, SIAM J. Discrete Math., 30(2), 2016, 1128-1147. (20 pages); DOI:10.1137/15M1040505
%p A285760 A285760:=proc(n) option remember: if n <= 0 then 0: elif n = 1 then 1: elif n = 2 then 1: elif n = 3 then 2: elif n = 4 then 2: else A285760(n-2-A285760(n-1)) + A285760(n-2-A285760(n-4)): fi: end:
%Y A285760 Cf. A005185, A063882, A285757, A285758, A285759, A285761, A285762.
%K A285760 nonn
%O A285760 1,3
%A A285760 _Nathan Fox_, Apr 25 2017