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 A287277 #11 Jan 05 2024 17:48:00
%S A287277 1,1,2,5,15,52,203,825,3442,14589,62361,267663,1151563,4960725,
%T A287277 21384434,92216247,397743421,1715713298,7401353547,31929410019,
%U A287277 137745628418,594249218505,2563666285385,11060009097685,47714467256725,205847216392033,888055467635514
%N A287277 Number of set partitions of [n] such that for each block all absolute differences between consecutive elements are <= five.
%H A287277 Alois P. Heinz, <a href="/A287277/b287277.txt">Table of n, a(n) for n = 0..1000</a>
%H A287277 Pierpaolo Natalini, Paolo Emilio Ricci, <a href="https://doi.org/10.3390/axioms7040071">New Bell-Sheffer Polynomial Sets</a>, Axioms 2018, 7(4), 71.
%H A287277 Wikipedia, <a href="https://en.wikipedia.org/wiki/Partition_of_a_set">Partition of a set</a>
%H A287277 <a href="/index/Rec#order_16">Index entries for linear recurrences with constant coefficients</a>, signature (6,-6,-4,-3,-28,54,16,-16,6,-30,-4,13,0,2,0,-1).
%F A287277 G.f.: -(x^15 +x^14 -x^13 -12*x^11 -10*x^10 +17*x^9 +5*x^8 +20*x^7 +19*x^6 -31*x^5 -4*x^4 -3*x^3 -2*x^2 +5*x-1) / ((x^6 +x^5 -x^4 -3*x^2 -x+1) * (x^10 -x^9 -x^7 -9*x^6 +10*x^5 +9*x^4 -7*x^3 +4*x^2 -5*x+1)).
%F A287277 a(n) = A287214(n,5).
%F A287277 a(n) = A000110(n) for n <= 6.
%t A287277 CoefficientList[Series[-(x^15+x^14-x^13-12x^11-10x^10+17x^9+5x^8+20x^7+19x^6-31x^5- 4x^4- 3x^3-2x^2+5x-1)/((x^6+x^5-x^4-3x^2-x+1)(x^10-x^9-x^7-9x^6+10x^5+9x^4-7x^3+ 4x^2- 5x+1)),{x,0,30}],x] (* or *) LinearRecurrence[{6,-6,-4,-3,-28,54,16,-16,6,-30,-4,13,0,2,0,-1},{1,1,2,5,15,52,203,825,3442,14589,62361,267663,1151563,4960725,21384434,92216247},30] (* _Harvey P. Dale_, Jan 05 2024 *)
%Y A287277 Column k=5 of A287214.
%Y A287277 Cf. A000110.
%K A287277 nonn,easy
%O A287277 0,3
%A A287277 _Alois P. Heinz_, May 22 2017