Search: id:A136395
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%I A136395
%S A136395 1,4,11,25,51,96,169,281,445,676,991,1409,1951,2640,3501,4561,5849,7396,
%T A136395 9235,11401,13931,16864,20241,24105,28501,33476,39079,45361,52375,60176,
%U A136395 68821,78369,88881,100420,113051,126841,141859,158176,175865,195001
%N A136395 Binomial transform of [1, 3, 4, 3, 2, 0, 0, 0,...].
%F A136395 A007318 * [1, 3, 4, 3, 2, 0, 0, 0,...]. A001263 * [1, 3, 1, 0, 0, 0,...]
%F A136395 O.g.f.: -(1-x+x^2+x^4)/(-1+x)^5. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), 
               Apr 02 2008
%e A136395 a(3) = 25 = (1, 3, 3, 1) dot (1, 3, 4, 3) = (1 + 9 + 12 + 3).
%e A136395 a(3) = 25 = (1, 6, 6, 1) dot (1, 3, 1, 0) = (1 + 18 + 6 + 0), where (1, 
               6, 6, 1) = row 4 of the Narayana triangle, A001263.
%p A136395 a := n-> (Matrix([[11,4,1,1,5]]). Matrix(5, (i,j)-> if (i=j-1) then 1 
               elif j=1 then [5,-10,10,-5,1][i] else 0 fi)^n)[1,3]; seq (a(n), n=0..50); 
               [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Aug 14 2008]
%Y A136395 Cf. A001263.
%Y A136395 Sequence in context: A006522 A036837 A011851 this_sequence A014160 A014162 
               A014169
%Y A136395 Adjacent sequences: A136392 A136393 A136394 this_sequence A136396 A136397 
               A136398
%K A136395 nonn,easy
%O A136395 0,2
%A A136395 Gary W. Adamson (qntmpkt(AT)yahoo.com), Dec 29 2007
%E A136395 More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 02 2008
%E A136395 More terms from Alois P. Heinz (heinz(AT)hs-heilbronn.de), Aug 14 2008

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