Search: id:A034494
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%I A034494
%S A034494 1,4,25,172,1201,8404,58825,411772,2882401,20176804,141237625,
%T A034494 988663372,6920643601,48444505204,339111536425,2373780754972,
%U A034494 16616465284801,116315256993604,814206798955225,5699447592686572
%N A034494 (7^n+1)/2.
%C A034494 Binomial transform of A081341. Inverse binomial transform of A081342. 
               [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 23 2008]
%F A034494 E.g.f. exp(4x)cosh(3x). - Paul Barry (pbarry(AT)wit.ie), Apr 20 2003
%F A034494 a(n) = 7a(n-1) - 3, a(0) = 1.
%F A034494 G.f.: (1-4x) / (1-x)(1-7x) . - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), 
               Jul 11 2005
%F A034494 a(n)=8*a(n-1)-7*a(n-2), a(0)=1, a(1)=4. [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), 
               Nov 15 2008]
%F A034494 ((4+sqrt9)^n+(4-sqrt9)^n)/2 in Fibonacci form. [From Al Hakanson (hawkuu(AT)gmail.com), 
               Dec 08 2008]
%o A034494 (Other) sage: [sigma(7,n)/2for n in xrange(0,20)] # [From Zerinvary Lajos 
               (zerinvarylajos(AT)yahoo.com), Jun 04 2009]
%Y A034494 Sequence in context: A081068 A163072 A140177 this_sequence A084210 A093683 
               A006348
%Y A034494 Adjacent sequences: A034491 A034492 A034493 this_sequence A034495 A034496 
               A034497
%K A034494 nonn
%O A034494 0,2
%A A034494 N. J. A. Sloane (njas(AT)research.att.com).

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