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A052770 A simple grammar. 1

%I #11 Apr 18 2017 07:04:06

%S 0,0,0,0,0,120,1440,14280,141120,1462104,16148160,191051520,

%T 2421936000,32840519712,475109002368,7312951114560,119419875993600,

%U 2063254247160192,37617587514390528,721991172931734528

%N A simple grammar.

%H INRIA Algorithms Project, <a href="http://ecs.inria.fr/services/structure?nbr=727">Encyclopedia of Combinatorial Structures 727</a>

%F E.g.f.: log(-1/(-1+x))^4*x.

%F Recurrence: {a(1)=0, a(2)=0, a(4)=0, a(3)=0, (n^8+6*n^7-46*n-21*n^2-5*n^4-34*n^5+24+74*n^3+n^6)*a(n) + (-4*n^7+49*n^3-70*n^2+25*n^4-54*n^5-30*n^6+24*n)*a(n+1) + (115*n^4+48*n^5+6*n^6+19*n^2+12*n+80*n^3)*a(n+2) + (-16*n-70*n^3-60*n^2-30*n^4-4*n^5)*a(n+3) + (n^4+6*n^3+11*n^2+6*n)*a(n+4), a(5)=120}.

%p spec := [S,{B=Cycle(Z),S=Prod(Z,B,B,B,B)},labeled]: seq(combstruct[count](spec,size=n), n=0..20);

%K easy,nonn

%O 0,6

%A encyclopedia(AT)pommard.inria.fr, Jan 25 2000

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Last modified April 25 11:39 EDT 2024. Contains 371969 sequences. (Running on oeis4.)