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%I #6 Aug 10 2018 16:14:08
%S 0,1,1,1,2,3,5,8,13,26,47,86,159,292,537,988,1976,3793,7294,14051,
%T 27114,52252,100711,194128,374205,748410,1469706,2887160,5673609,
%U 11153090,21931975,43115540,84761374,166635588,327597567,644042044,1288084088
%N a(0)=0; a(1)=1; a(n) = Sum_{k=1..[sqrt(n)]} a(n-k) for n>=2.
%C Lim n->infinity {a(n+1)/a(n)} = 2. Contrast with Fibonacci sequence. Also a(n+1)/a(n) = 2 iff n+1 is square.
%F a(n) = sum a(n-k), k= 1 ... [sqrt(n)] for n>=2; a(0)=0; a(1)=1.
%e a(9) = a(6) + a(7) + a(8) = 5 + 8 + 13 = 26.
%Y Cf. A132916.
%K nonn
%O 0,5
%A _Rick L. Shepherd_, Sep 04 2007
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