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 A080011 #17 Apr 16 2024 03:15:46 %S A080011 1,1,1,3,7,15,29,59,126,262,542,1121,2328,4839,10039,20827,43220, %T A080011 89704,186172,386345,801768,1663916,3453137,7166272,14872078,30863935, %U A080011 64051787,132926308,275861116,572492846,1188091024,2465638247 %N A080011 Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=2, r=3, I={-1}. %D A080011 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 A080011 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 A080011 <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (1,1,1,2,3,-1,0,1,-1,-1). %F A080011 a(n) = a(n-1)+a(n-2)+a(n-3)+2*a(n-4)+3*a(n-5)-a(n-6)+a(n-8)-a(n-9)-a(n-10). %F A080011 G.f.: -(x^5+x^2-1)/(x^10+x^9-x^8+x^6-3*x^5-2*x^4-x^3-x^2-x+1) %t A080011 LinearRecurrence[{1,1,1,2,3,-1,0,1,-1,-1},{1,1,1,3,7,15,29,59,126,262},40] (* _Harvey P. Dale_, Nov 03 2022 *) %Y A080011 Cf. A002524-A002529, A072827, A072850-A072856, A079955-A080014. %K A080011 nonn %O A080011 0,4 %A A080011 _Vladimir Baltic_, Feb 10 2003