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%I #4 Dec 31 2016 01:29:36
%S 1,0,1,1,1,3,3,6,9,12,22,30,49,76,113,181,271,423,653,998,1553,2378,
%T 3674,5667,8715,13463,20721,31952,49261,75883,117022,180310,277937,
%U 428422,660239,1017760,1568577,2417700,3726514,5743524,8852817,13644751,21030859,32415319,49961707,77007095,118691597
%N Expansion of 1/(1 - Sum_{k>=1} x^(k+floor(1/2+sqrt(k)))).
%C Number of compositions (ordered partitions) into nonsquares (A000037).
%H <a href="/index/Com#comp">Index entries for sequences related to compositions</a>
%F G.f.: 1/(1 - Sum_{k>=1} x^(k+floor(1/2+sqrt(k)))).
%e a(5) = 3 because we have [2, 3], [3, 2] and [5].
%t nmax = 46; CoefficientList[Series[1/(1 - Sum[x^(k + Floor[1/2 + Sqrt[k]]), {k, 1, nmax}]), {x, 0, nmax}], x]
%Y Cf. A000037, A087153.
%K nonn
%O 0,6
%A _Ilya Gutkovskiy_, Dec 29 2016