Search: id:A098334
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%I A098334
%S A098334 1,1,7,23,49,401,41,5767,11423,65569,299353,441847,5511791,3665999,
%T A098334 79937417,212712857,861871423,5076450239,3966949049,89482678313,
%U A098334 110424995569,1233175514671,4202194115863
%V A098334 1,1,-7,-23,49,401,41,-5767,-11423,65569,299353,-441847,-5511791,-3665999,
               79937417,
%W A098334 212712857,-861871423,-5076450239,3966949049,89482678313,110424995569,
               -1233175514671,
%X A098334 -4202194115863
%N A098334 Expansion of 1/sqrt(1-2x+17x^2).
%C A098334 Central coefficients of (1+x-4x^2)^n. Binomial transform of 1/sqrt(1+16x^2), 
               or (1,0,-8,0,96,0,-1280,...) Binomial transform is A098337.
%D A098334 Tony D. Noe, On the Divisibility of Generalized Central Trinomial Coefficients, 
               Journal of Integer Sequences, Vol. 9 (2006), Article 06.2.7.
%F A098334 E.g.f. : exp(x)BesselI(0, 4*I*x), I=sqrt(-1); a(n)=sum{k=0..floor(n/2), 
               binomial(n, 2k)binomial(2k, k)(-4)^k}; a(n)=sum{k=0..floor(n/2), 
               binomial(n, k)binomial(n-k, k)(-4)^k); a(n)=sum{k=0..n, binomial(n, 
               k)binomial(k, k/2)cos(pi*k/2)2^k}3
%Y A098334 Sequence in context: A162290 A062725 A147121 this_sequence A038796 A004068 
               A022815
%Y A098334 Adjacent sequences: A098331 A098332 A098333 this_sequence A098335 A098336 
               A098337
%K A098334 easy,sign
%O A098334 0,3
%A A098334 Paul Barry (pbarry(AT)wit.ie), Sep 03 2004

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