Search: id:A045757
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%I A045757
%S A045757 1,11,231,7161,293601,14973651,913392711,64850882481,5252921480961,
%T A045757 478015854767451,48279601331512551,5359035747797893161,
%U A045757 648443325483545072481,84946075638344404495011
%N A045757 10-factorial numbers.
%C A045757 a(n)= Pochhammer(1/10,n)*10^n.
%H A045757 <a href="Sindx_Fa.html#factorial">Index entries for sequences related 
               to factorial numbers</a>
%F A045757 a(n+1)= (10*n+1)(!^10) := product(10*k+1, k=0..n), n >= 0; E.g.f. -1+(1-10*x)^(-1/
               10).
%p A045757 restart: G(x):=-1+(1-10*x)^(-1/10): f[0]:=G(x): for n from 1 to 29 do 
               f[n]:=diff(f[n-1],x) od: x:=0: seq(f[n],n=1..14);# [From Zerinvary 
               Lajos (zerinvarylajos(AT)yahoo.com), Apr 03 2009]
%Y A045757 Cf. A035265, A035272-A035279, A008542, A048176.
%Y A045757 Sequence in context: A077736 A068122 A015287 this_sequence A144773 A061115 
               A098321
%Y A045757 Adjacent sequences: A045754 A045755 A045756 this_sequence A045758 A045759 
               A045760
%K A045757 easy,nonn
%O A045757 1,2
%A A045757 Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)

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