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%I #11 Sep 21 2017 11:01:10
%S 1,1,1,1,2,7,22,57,128,264,529,1079,2290,5022,11148,24633,53824,
%T 116472,250880,540536,1167937,2531061,5494247,11928731,25880583,
%U 56101768,121544393,263289438,570427339,1236159756,2679343966,5807782301
%N Quintisection and binomial transform of 1/(1-x^4-x^5).
%H <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (5,-10,10,-4,1).
%F G.f.: (1-x)^4/((1-x)^5-x^4); a(n)=sum{k=0..floor(5n/4), binomial(k, 5n-4k)}; a(n)=A017827(5n).
%F a(n)=sum{k=0..floor((n+1)/2), binomial(n+k, 5k)}; - _Paul Barry_, May 09 2005
%t LinearRecurrence[{5, -10, 10, -4, 1}, {1, 1, 1, 1, 2}, 32] (* _Jean-François Alcover_, Sep 21 2017 *)
%K easy,nonn
%O 0,5
%A _Paul Barry_, Sep 29 2004
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