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%I #11 May 10 2013 12:44:04
%S 1,1,1,1,1,1,1,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,11,12,13,15,16,
%T 18,20,22,24,27,29,32,35,38,41,45,48,52,56,60,64,69,73,78,83,89,94,
%U 101,107,115,122,131,139,150,159,171,182,196,208,224,238,256,272,292,310
%N Number of partitions of n with distinct parts p(i) such that if i != j, then |p(i) - p(j)| >= 8.
%H Alois P. Heinz, <a href="/A025162/b025162.txt">Table of n, a(n) for n = 1..1000</a>
%F G.f.: Sum(x^(4*k^2-3*k)/Product(1-x^i, i=1..k), k=1..infinity). - _Vladeta Jovovic_, Aug 12 2004
%Y Cf. A003114, A025157-A025162.
%Y Column k=8 of A194543.
%K nonn
%O 1,10
%A _Clark Kimberling_
%E More terms from _Naohiro Nomoto_, Feb 27 2002
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