Search: id:A099626
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%I A099626
%S A099626 0,1,2,7,18,52,142,397,1098,3051,8460,23480,65140,180749,501498,1391483,
%T A099626 3860822,10712348,29722698,82469313,228821202,634892599,1761587480,
%U A099626 4887741040,13561638120,37628431801,104404708402,289683694927
%N A099626 A transform of the Pell numbers.
%C A099626 A modified Chebyshev transform of A000129. Under this transform, the 
               g.f. G(x) is mapped to (1/(1-x^2))G(x/(1-x^2)).
%F A099626 G.f.: x/(1-2x-3x^2+2x^3+x^4); a(n)=2a(n-1)+3a(n-2)-2a(n-3)-a(n-4); a(n)=sum{k=0..floor(n/
               2), binomial(n-k, k)Pell(n-2k)}.
%Y A099626 Sequence in context: A122931 A094976 A006869 this_sequence A046672 A046866 
               A000988
%Y A099626 Adjacent sequences: A099623 A099624 A099625 this_sequence A099627 A099628 
               A099629
%K A099626 easy,nonn
%O A099626 0,3
%A A099626 Paul Barry (pbarry(AT)wit.ie), Oct 25 2004

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