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a(n) = ceiling(A173497(n)/2).
2

%I #11 Nov 17 2019 01:44:15

%S 1,1,1,2,2,3,4,6,8,11,15,20,28,38,52,71,97,132,181,247,337,461,629,

%T 860,1174,1604,2191,2993,4089,5585,7630,10422,14237,19448,26567,36291,

%U 49574,67720,92507,126367,172620,235804,322114

%N a(n) = ceiling(A173497(n)/2).

%p A173497 := proc(n) option remember; if n <= 1 then op(n+1,[2,1]) ; else procname(n-1)+procname(n-2)-floor(procname(n-2)/2) ; end if; end proc:

%p A173508 := proc(n) ceil(A173497(n)/2) ; end proc:

%p seq(A173508(n),n=0..60) ;

%Y Cf. A000032, A064323, A173497.

%K nonn

%O 0,4

%A _Roger L. Bagula_, Nov 23 2010

%E Definition corrected, Mma code related to another sequence removed, sequence extended