Search: id:A098333
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%I A098333
%S A098333 1,1,5,17,19,211,181,2015,5837,12259,91585,29965,1033955,2347955,
%T A098333 7953115,43864543,11941037,559875245,942036911,5060812717,21502740649,
%U A098333 20676139991,307241918945,344022187613
%V A098333 1,1,-5,-17,19,211,181,-2015,-5837,12259,91585,29965,-1033955,-2347955,
               7953115,
%W A098333 43864543,-11941037,-559875245,-942036911,5060812717,21502740649,-20676139991,
%X A098333 -307241918945,-344022187613
%N A098333 Expansion of 1/sqrt(1-2x+13x^2).
%C A098333 Central coefficients of (1+x-3x^2)^n. Binomial transform of 1/sqrt(1+12x^2), 
               or (1,0,-6,0,54,0,-540,...). Binomial transform is A012000.
%D A098333 Tony D. Noe, On the Divisibility of Generalized Central Trinomial Coefficients, 
               Journal of Integer Sequences, Vol. 9 (2006), Article 06.2.7.
%F A098333 E.g.f. : exp(x)BesselI(0, 2sqrt(-3)x); a(n)=sum{k=0..floor(n/2), binomial(n, 
               2k)binomial(2k, k)(-3)^k}; a(n)=sum{k=0..floor(n/2), binomial(n, 
               k)binomial(n-k, k)(-3)^k).
%Y A098333 Sequence in context: A038964 A019401 A153320 this_sequence A162862 A043338 
               A023711
%Y A098333 Adjacent sequences: A098330 A098331 A098332 this_sequence A098334 A098335 
               A098336
%K A098333 easy,sign
%O A098333 0,3
%A A098333 Paul Barry (pbarry(AT)wit.ie), Sep 03 2004

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