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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..29.

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

Adjacent sequences:  A099587 A099588 A099589 * A099591 A099592 A099593

KEYWORD

nonn

AUTHOR

Ralf Stephan, Oct 24 2004

STATUS

approved

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Last modified December 5 10:45 EST 2019. Contains 329751 sequences. (Running on oeis4.)