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A280542 Expansion of 1/(1 - Sum_{k>=2} x^(k^2)).

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%I A280542 #7 May 03 2018 03:29:09
%S A280542 1,0,0,0,1,0,0,0,1,1,0,0,1,2,0,0,2,3,1,0,3,4,3,0,4,8,6,1,5,14,10,4,7,
%T A280542 22,20,10,12,32,39,20,21,49,70,42,37,79,116,88,65,129,193,174,122,207,
%U A280542 326,320,238,333,551,575,463,555,914,1029,874,959,1502,1829,1621,1691,2486,3192,2989,3000,4172,5488
%N A280542 Expansion of 1/(1 - Sum_{k>=2} x^(k^2)).
%C A280542 Number of compositions (ordered partitions) of n into squares > 1.
%H A280542 Seiichi Manyama, <a href="/A280542/b280542.txt">Table of n, a(n) for n = 0..10000</a>
%H A280542 <a href="/index/Su#ssq">Index entries for sequences related to sums of squares</a>
%H A280542 <a href="/index/Com#comp">Index entries for sequences related to compositions</a>
%F A280542 G.f.: 1/(1 - Sum_{k>=2} x^(k^2)).
%e A280542 a(17) = 3 because we have [9, 4, 4], [4, 9, 4] and [4, 4, 9].
%t A280542 nmax = 75; CoefficientList[Series[1/(1 - Sum[x^k^2, {k, 2, nmax}]), {x, 0, nmax}], x]
%Y A280542 Cf. A000290, A006456, A078134.
%K A280542 nonn
%O A280542 0,14
%A A280542 _Ilya Gutkovskiy_, Jan 05 2017