cp's OEIS Frontend

A294054 Number of set partitions of [n] such that the maximal absolute difference between consecutive elements within a block equals five.

%I A294054 #7 Oct 22 2017 12:55:31
%S A294054 15,129,836,4789,25430,128360,625905,2976800,13896153,63950894,
%T A294054 291050996,1312981604,5881158250,26191105884,116085151862,
%U A294054 512487018089,2255036961813,9895020092839,43316960894877,189247864529166,825397574526671,3594688070523059,15635607417594050
%N A294054 Number of set partitions of [n] such that the maximal absolute difference between consecutive elements within a block equals five.
%H A294054 Alois P. Heinz, <a href="/A294054/b294054.txt">Table of n, a(n) for n = 6..1000</a>
%H A294054 <a href="/index/Rec#order_24">Index entries for linear recurrences with constant coefficients</a>, signature (11, -40, 49, -8, 14, 94, -354, 92, 41, 464, -113, -280, -39, -164, 217, 104, -48, -16, -32, 6, 5, 2, 1, -1)
%F A294054 G.f.: (x^15-3*x^13-2*x^12-4*x^11+7*x^10+21*x^9+9*x^8-33*x^7-44*x^6+48*x^5-10*x^4 +18*x^3+17*x^2-36*x+15)*x^6 / ((x^8-x^7-7*x^5+7*x^4+x^3+4*x^2-5*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)*(x^6+x^5-x^4-3*x^2-x+1)).
%F A294054 a(n) = A287277(n) - A287276(n).
%Y A294054 Column k=5 of A287213.
%Y A294054 Cf. A287276, A287277.
%K A294054 nonn,easy
%O A294054 6,1
%A A294054 _Alois P. Heinz_, Oct 22 2017