Search: id:A038608
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%I A038608
%S A038608 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,
%T A038608 26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,
%U A038608 49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65
%V A038608 0,-1,2,-3,4,-5,6,-7,8,-9,10,-11,12,-13,14,-15,16,-17,18,-19,20,-21,22,
               -23,24,-25,26,
%W A038608 -27,28,-29,30,-31,32,-33,34,-35,36,-37,38,-39,40,-41,42,-43,44,-45,46,
               -47,48,-49,50,
%X A038608 -51,52,-53,54,-55,56,-57,58,-59,60,-61,62,-63,64,-65
%N A038608 n*(-1)^n.
%C A038608 a(n) = determinant of the (n+1) X (n+1) matrix with 0's in the main diagonal 
               and 1's elsewhere. - Franz Vrabec (franz.vrabec(AT)planetuniqa.at), 
               Dec 01 2007
%C A038608 Sum{n>0} 1/a(n) = -log(2) [From Jaume Oliver Lafont (joliverlafont(AT)gmail.com), 
               Feb 24 2009]
%H A038608 <a href="Sindx_Rea.html#recLCC">Index entries for sequences related to 
               linear recurrences with constant coefficients</a>
%H A038608 Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/
               RecursiveSequences.html">Recursive Sequences</a>
%H A038608 X. Gourdon and P. Sebah, <a href="http://numbers.computation.free.fr/
               Constants/Log2/log2.html">The logarithm constant: log 2</a> [From 
               Jaume Oliver Lafont (joliverlafont(AT)gmail.com), Feb 24 2009]
%F A038608 G.f.: -x/(1+x)^2; E.g.f: -x*exp(-x).
%F A038608 a(0)=0, a(1)=-1, a(n)=-2a(n-1)-a(n-2) for n>=2 [From Jaume Oliver Lafont 
               (joliverlafont(AT)gmail.com), Feb 24 2009]
%p A038608 A038608 := n->n*(-1)^n;
%p A038608 a:=n->sum((-1)^n, j=0..n-1): seq(a(n), n=0..73);# [From Zerinvary Lajos 
               (zerinvarylajos(AT)yahoo.com), Dec 17 2008]
%t A038608 lst={}; Do[AppendTo[lst,n*(-1)^n],{n,0,6!}]; lst [From Vladimir Orlovsky 
               (4vladimir(AT)gmail.com), Jan 18 2009]
%Y A038608 Equals A000027(n)*A033999(n).
%Y A038608 Cf. A002162, A155988. [From Jaume Oliver Lafont (joliverlafont(AT)gmail.com), 
               Feb 24 2009]
%Y A038608 Sequence in context: A024000 A097141 A160356 this_sequence A105811 A069782 
               A088480
%Y A038608 Adjacent sequences: A038605 A038606 A038607 this_sequence A038609 A038610 
               A038611
%K A038608 sign,easy
%O A038608 0,3
%A A038608 Vasiliy Danilov (danilovv(AT)usa.net) 1998 Jul
%E A038608 Edited by frank.ellermann(AT)t-online.de, Jan 28 2002

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