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%I #9 Jul 28 2015 16:40:37
%S 1,6,16,36,76,152,292,552,1052,2052,4104,8344,17044,34664,69904,
%T 139808,278108,552268,1098148,2189908,4379816,8776356,17596496,
%U 35263836,70598516,141197032,282208592,563931612,1127077552,2253369432,4506738864,9015534644
%N Binomial transform of A171372.
%C The recurrence shows that the sequence and its successive differences are identical to their fifth differences (see A135356).
%H <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (5, -10, 10, -5, 2).
%F a(n+1)-2*a(n) = 4*A105371(n-1) = 4*A138110(4,n).
%F a(n) = 5*a(n-1)-10*a(n-2)+10*a(n-3)-5*a(n-4)+2*a(n-5).
%F G.f.: (1+x-4*x^2+6*x^3+x^4)/((1-2*x)*(x^4-2*x^3+4*x^2-3*x+1)).
%t LinearRecurrence[{5,-10,10,-5,2},{1,6,16,36,76},40] (* _Harvey P. Dale_, Dec 09 2013 *)
%K nonn
%O 0,2
%A _Paul Curtz_, Dec 07 2009
%E Edited and extended by _R. J. Mathar_, Dec 15 2009, Mar 02 2010
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