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Expansion of 1/((1-x)(1-x^3)(1-x^5) ... (1-x^13)).
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%I #15 Jan 26 2021 03:50:56

%S 1,1,1,2,2,3,4,5,6,8,10,12,15,18,22,26,31,36,43,50,58,68,78,90,103,

%T 118,134,153,173,195,220,247,277,310,346,385,429,475,526,582,642,707,

%U 778,854,936,1026,1121,1224,1335,1454,1581,1718,1864,2020,2188,2366,2556

%N Expansion of 1/((1-x)(1-x^3)(1-x^5) ... (1-x^13)).

%C Number of partitions of n into odd parts less than or equal to 13.

%C Number of partitions (d1,d2,...,d7) of n such that 0 <= d1/1 <= d2/2 <= ... <= d7/7.

%H Seiichi Manyama, <a href="/A287997/b287997.txt">Table of n, a(n) for n = 0..10000</a>

%H <a href="/index/Rec#order_49">Index entries for linear recurrences with constant coefficients</a>, signature (1, 0, 1, -1, 1, -1, 1, -2, 2, -2, 2, -3, 3, -3, 3, -4, 4, -3, 4, -4, 5, -4, 4, -5, 5, -4, 4, -5, 4, -4, 3, -4, 4, -3, 3, -3, 3, -2, 2, -2, 2, -1, 1, -1, 1, -1, 0, -1, 1).

%Y Cf. A259094.

%K nonn

%O 0,4

%A _Seiichi Manyama_, Jun 04 2017