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%I #8 Sep 08 2021 16:13:02
%S 1,1,2,3,5,7,11,15,22,29,40,52,70,89,116,146,186,231,289,354,437,530,
%T 645,775,934,1112,1327,1569,1856,2179,2559,2985,3483,4040,4684,5406,
%U 6235,7160,8218,9396,10735,12225,13910,15780,17888,20223,22842,25742,28983,32562
%N Number of partitions of n into 7 or more distinct parts.
%H Chai Wah Wu, <a href="/A347574/b347574.txt">Table of n, a(n) for n = 28..10000</a>
%F G.f.: Sum_{k>=7} x^(k*(k + 1)/2) / Product_{j=1..k} (1 - x^j).
%t nmax = 77; CoefficientList[Series[Sum[x^(k (k + 1)/2)/Product[(1 - x^j), {j, 1, k}], {k, 7, nmax}], {x, 0, nmax}], x] // Drop[#, 28] &
%Y Cf. A111133, A347548, A347549, A347572, A347573, A347575, A347576, A347577.
%K nonn
%O 28,3
%A _Ilya Gutkovskiy_, Sep 07 2021