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A099590
2^(n-1) times coefficient of x in (1+x)^n mod U(n,x), U the Chebyshev polynomials.
0
0, 4, 14, 32, 77, 192, 452, 1024, 2299, 5120, 11270, 24576, 53241, 114688, 245768, 524288, 1114103, 2359296, 4980746, 10485760, 22020085, 46137344, 96469004, 201326592, 419430387, 872415232, 1811939342, 3758096384, 7784628209
OFFSET
1,2
FORMULA
Apparently, a(n+1) = (n+1)2^n - (n+2)/4 * (I^n + (-I)^n).
Empirical g.f.: x^2*(x+2)*(x^2-2*x+2) / ((2*x-1)^2*(x^2+1)^2). - Colin Barker, Jul 16 2013
CROSSREFS
Cf. A099586.
Sequence in context: A023649 A323723 A324042 * A078432 A124786 A322009
KEYWORD
nonn
AUTHOR
Ralf Stephan, Oct 24 2004
STATUS
approved