Search: id:A053486
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%I A053486
%S A053486 1,4,17,78,393,2208,13977,100026,806769,7280604,72865089,801693126,
%T A053486 9620848953,125072630712,1751021612937,26265338542962,420245459734113,
%U A053486 7144172944620084,128595113390582001,2443307155583319486,48866143115153174121
%N A053486 E.g.f.: exp(3x)/(1-x).
%H A053486 J. W. Layman, <a href="http://www.cs.uwaterloo.ca/journals/JIS/index.html">
               The Hankel Transform and Some of its Properties</a>, J. Integer Sequences, 
               4 (2001), #01.1.5.
%F A053486 a(n) is the permanent of the n X n matrix with 4's on the diagonal and 
               1's elsewhere. a(n) = Sum(k=0..n, A008290(n, k)*4^k). - DELEHAM Philippe 
               (kolotoko(AT)wanadoo.fr), Dec 12 2003
%F A053486 a(n) = Sum[(n! / k!) * 3^k {k=0...n}] - Ross La Haye (rlahaye(AT)new.rr.com), 
               Sep 21 2004
%F A053486 a(n)=sum{k=0..n, k!*C(n, k)3^(n-k)}; - Paul Barry (pbarry(AT)wit.ie), 
               Apr 22 2005
%p A053486 restart: G(x):=exp(3*x)/(1-x): g[0]:=G(x): for n from 1 to 20 do g[n]:=diff(g[n-1],
               x) od: x:=0: seq(g[n],n=0..20);# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), 
               Apr 03 2009]
%Y A053486 Cf. A008290.
%Y A053486 Sequence in context: A104455 A123952 A005494 this_sequence A151249 A110307 
               A089165
%Y A053486 Adjacent sequences: A053483 A053484 A053485 this_sequence A053487 A053488 
               A053489
%K A053486 nonn
%O A053486 0,2
%A A053486 N. J. A. Sloane (njas(AT)research.att.com), Jan 15 2000

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