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 A079963 #16 Apr 16 2024 03:27:49
%S A079963 1,1,1,1,2,4,7,10,14,21,34,55,86,131,200,310,485,757,1174,1815,2810,
%T A079963 4362,6778,10524,16323,25310,39260,60924,94549,146706,227599,353093,
%U A079963 547826,850005,1318859,2046257,3174775,4925699,7642389,11857510
%N A079963 Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=1, r=5, I={1,2}.
%C A079963 Number of compositions (ordered partitions) of n into elements of the set {1,4,5,6}.
%D A079963 D. H. Lehmer, Permutations with strongly restricted displacements. Combinatorial theory and its applications, II (Proc. Colloq., Balatonfured, 1969), pp. 755-770. North-Holland, Amsterdam, 1970.
%H A079963 Vladimir Baltic, <a href="http://pefmath.etf.rs/vol4num1/AADM-Vol4-No1-119-135.pdf">On the number of certain types of strongly restricted permutations</a>, Applicable Analysis and Discrete Mathematics Vol. 4, No 1 (2010), 119-135.
%H A079963 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,0,1,1,1).
%F A079963 a(n) = a(n-1)+a(n-4)+a(n-5)+a(n-6).
%F A079963 G.f.: -1/(x^6+x^5+x^4+x-1).
%Y A079963 Cf. A002524-A002529, A072827, A072850-A072856, A079955-A080014.
%K A079963 nonn,easy
%O A079963 0,5
%A A079963 _Vladimir Baltic_, Feb 19 2003