Search: id:A099495
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%I A099495
%S A099495 0,1,1,2,6,12,25,55,118,254,548,1179,2539,5470,11780,25370,54641,117681,
%T A099495 253452,545866,1175642,2532005,5453235,11744748,25294914,54478198,
%U A099495 117330859,252697979,544241040,1172143560,2524470640,5437006381
%N A099495 A Chebyshev transform of Fib(n)^2.
%C A099495 A Chebyshev transform of A007598, which has g.f. x(1-x)/((1+x)(1-3x+x^2)). 
               The image of G(x) under the Chebyshev transform is (1/(1+x^2))G(x/
               (1+x^2)).
%F A099495 G.f.: x(1-x+x^2)/((1+x+x^2)(1-3x+3x^2-3x^3+x^4)); a(n)=2a(n-1)-a(n-2)+3a(n-3)-a(n-4)+2a(n-5)-a(n-6); 
               a(n)=sum{k=0..floor(n/2), binomial(n-k, k)(-1)^k*F(n-2k)^2}.
%Y A099495 Sequence in context: A128020 A116562 A140659 this_sequence A151385 A034875 
               A136515
%Y A099495 Adjacent sequences: A099492 A099493 A099494 this_sequence A099496 A099497 
               A099498
%K A099495 easy,nonn
%O A099495 0,4
%A A099495 Paul Barry (pbarry(AT)wit.ie), Oct 19 2004

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