Search: id:A008785
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%I A008785
%S A008785 1,5,36,343,4096,59049,1000000,19487171,429981696,10604499373,
%T A008785 289254654976,8649755859375,281474976710656,9904578032905937,
%U A008785 374813367582081024,15181127029874798299,655360000000000000000
%N A008785 (n+4)^n.
%F A008785 E.g.f.(x) for b(n)=n^(n-4)=a(n-4): T-(7/8)T^2+(11/36)T^3-(1/24)T^4, where 
               T=T(x) is Euler's tree function (see A000169). - Len Smiley (smiley(AT)math.uaa.alaska.edu), 
               Nov 17 2001
%F A008785 E.g.f.: LambertW(-x)^4/(1+LambertW(-x))/x^4. - Vladeta Jovovic (vladeta(AT)eunet.rs), 
               Nov 07 2003
%p A008785 seq(mul(n, k=5..n), n=4..20); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), 
               Feb 15 2008
%p A008785 a:=n->mul(denom (1/(n+5)), k=0..n): seq(a(n), n=-1..15); - Zerinvary 
               Lajos (zerinvarylajos(AT)yahoo.com), Apr 26 2008
%p A008785 with(finance):seq(futurevalue(1,n+3,n), n=0..16);# [From Zerinvary Lajos 
               (zerinvarylajos(AT)yahoo.com), Mar 25 2009]
%Y A008785 Cf. A000169, A000272, A000312, A007778, A007830, A008786-A008791.
%Y A008785 Sequence in context: A075744 A109186 A099391 this_sequence A081918 A062024 
               A031971
%Y A008785 Adjacent sequences: A008782 A008783 A008784 this_sequence A008786 A008787 
               A008788
%K A008785 nonn
%O A008785 0,2
%A A008785 N. J. A. Sloane (njas(AT)research.att.com).

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