Search: id:A030240
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%I A030240
%S A030240 1,7,42,245,1421,8232,47677,276115,1599066,9260657,53631137,
%T A030240 310593360,1798735561,10416995407,60327818922,349375764605,
%U A030240 2023335619781,11717718986232,67860683565157,393000752052475
%N A030240 Scaled Chebyshev U-polynomials evaluated at sqrt(7)/2.
%C A030240 Binomial transform of A030221. [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), 
               Nov 19 2009]
%D A030240 A. F. Horadam, Special properties of the sequence W_n(a,b; p,q), Fib. 
               Quart., 5.5 (1967), 424-434. Case n->n+1, a=0,b=1; p=7, q=-7.
%D A030240 W. Lang, On polynomials related to powers of the generating function 
               of Catalan's numbers, Fib. Quart. 38,5 (2000) 408-419; Eqs. (38) 
               and (45), lhs, m=7.
%H A030240 <a href="Sindx_Ch.html#Cheby">Index entries for sequences related to 
               Chebyshev polynomials.</a>
%F A030240 a(n) = 7*a(n-1)-7*a(n-2), a(-1)=0, a(0)=1; a(n)=sqrt(7)^n*U(n, sqrt(7)/
               2); g.f.:1/(1-7*x+7*x^2); a(2*k)=7^k*A030221(k); a(2*k-1)=7^k*A004254(k)
%F A030240 a(n)=Sum_{k, 0<=k<=n} A109466(n,k)*7^k. [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), 
               Oct 28 2008]
%o A030240 (Other) sage: [lucas_number1(n,7,7) for n in xrange(1, 21)]# [From Zerinvary 
               Lajos (zerinvarylajos(AT)yahoo.com), Apr 23 2009]
%Y A030240 Sequence in context: A164072 A111995 A050152 this_sequence A054890 A102594 
               A053142
%Y A030240 Adjacent sequences: A030237 A030238 A030239 this_sequence A030241 A030242 
               A030243
%K A030240 nonn,new
%O A030240 0,2
%A A030240 Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)

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