Search: id:A104454
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%I A104454
%S A104454 1,7,51,385,2995,23877,194109,1602447,13389075,112935445,959783881,
%T A104454 8206116387,70507643101,608271899515,5265458413875,45711784088145,
%U A104454 397829544860115,3469772959954245,30319709631711225,265383615634224675
%N A104454 Expansion of 1/(sqrt(1-5x)sqrt(1-9x)).
%C A104454 Fifth binomial transform of A000984. In general, the k-th binomial transform 
               of A000984 will have g.f. 1/(sqrt(1-kx)sqrt(1-(k+4)x)) and a(n)=sum{i=0..n, 
               C(n,i)C(2i,i)k^(n-i)}.
%D A104454 Tony D. Noe, On the Divisibility of Generalized Central Trinomial Coefficients, 
               Journal of Integer Sequences, Vol. 9 (2006), Article 06.2.7.
%F A104454 G.f.: 1/sqrt(1-14x+45x^2); E.g.f.: exp(7x)BesselI(0, 2x) a(n)=sum{k=0..n, 
               C(n, k)C(2k, k)5^(n-k)}.
%Y A104454 Cf. A081671, A098409, A098410.
%Y A104454 Sequence in context: A137382 A162757 A147958 this_sequence A019472 A081216 
               A124271
%Y A104454 Adjacent sequences: A104451 A104452 A104453 this_sequence A104455 A104456 
               A104457
%K A104454 easy,nonn
%O A104454 0,2
%A A104454 Paul Barry (pbarry(AT)wit.ie), Mar 08 2005

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