Search: id:A135936
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%I A135936
%S A135936 1,1,1,2,1,1,1,0,2,1,1,3,1,2,3,2,1,3,2,5,1,4,0,8,2,1,5,3,10,7,1,6,7,10,
               15,
%T A135936 2,1,7,12,7,25,9,1,8,18,0,35,24,2,1,9,25,12,42,49,11,1,10,33,30,42,84,
               35,
%U A135936 2,1,11,42,55,30,126,84,13,1,12,52,88,0,168,168,48,2,1,13,63,130,55,198,
               294
%V A135936 1,1,1,2,1,1,1,0,-2,1,-1,-3,1,-2,-3,2,1,-3,-2,5,1,-4,0,8,-2,1,-5,3,10,
               -7,1,-6,7,10,-15,
%W A135936 2,1,-7,12,7,-25,9,1,-8,18,0,-35,24,-2,1,-9,25,-12,-42,49,-11,1,-10,33,
               -30,-42,84,-35,
%X A135936 2,1,-11,42,-55,-30,126,-84,13,1,-12,52,-88,0,168,-168,48,-2,1,-13,63,
               -130,55,198,-294
%N A135936 Irregular triangle read by rows: row n gives coefficients of Boubaker 
               polynomial B_n(x) in order of decreasing exponents (another version).
%C A135936 See A135929 and A138034 for further information.
%H A135936 R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 11 2008, <a href="b135936.txt">
               Table of n, a(n) for n = 0..160</a>
%e A135936 The Boubaker polynomials B_0(x), B_1(x), B_2(x), ... are:
%e A135936 1
%e A135936 x
%e A135936 x^2+2
%e A135936 x^3+x
%e A135936 x^4-2
%e A135936 x^5-x^3-3*x
%e A135936 x^6-2*x^4-3*x^2+2
%e A135936 x^7-3*x^5-2*x^3+5*x
%e A135936 x^8-4*x^6+8*x^2-2
%e A135936 x^9-5*x^7+3*x^5+10*x^3-7*x
%e A135936 ...
%p A135936 A135936 := proc(n,m) coeftayl( coeftayl( (1+3*t^2)/(1-x*t+t^2),t=0,n), 
               x=0,m) ; end: for n from 0 to 25 do for m from n to 0 by -2 do printf("%d, 
               ",A135936(n,m)) ; od; od; - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), 
               Mar 11 2008
%Y A135936 Cf. A138034.
%Y A135936 Sequence in context: A090340 A117162 A146061 this_sequence A109707 A064272 
               A117479
%Y A135936 Adjacent sequences: A135933 A135934 A135935 this_sequence A135937 A135938 
               A135939
%K A135936 sign,tabf
%O A135936 0,4
%A A135936 N. J. A. Sloane (njas(AT)research.att.com), Mar 09 2008
%E A135936 More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 11 2008

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