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A099156 2^(n-1)*U(n-1,2). +0
2
0, 1, 8, 60, 448, 3344, 24960, 186304, 1390592, 10379520, 77473792, 578272256, 4316282880, 32217174016, 240472260608, 1794909388800, 13397386067968, 99999450988544, 746406063636480, 5571250705137664, 41584381386555392 (list; graph; listen)
OFFSET

0,3

LINKS

Index entries for sequences related to Chebyshev polynomials.

FORMULA

G.f.: x/(1-8x+4x^2); E.g.f.: exp(4x)sinh(2sqrt(3)x)/sqrt(3); a(n)=8a(n-1)-4a(n-2); a(n)=sqrt(3)(1+sqrt(3))^(2n)/12-sqrt(3)(sqrt(3)-1)^(2n)/12; a(n)=sum{k=0..n, binomial(2n, 2k+1)3^k/2}; a(n)=2^(n-1)U(n-1, 4/2) where U is the Chebyshev polynomial of the second kind.

CROSSREFS

Cf. A090965.

Adjacent sequences: A099153 A099154 A099155 this_sequence A099157 A099158 A099159

Sequence in context: A094169 A129325 A001267 this_sequence A129331 A005990 A099337

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Oct 01 2004

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Last modified October 7 14:39 EDT 2008. Contains 144666 sequences.


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