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%I #11 May 10 2013 12:44:04
%S 1,1,1,1,1,1,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,10,11,12,14,15,17,19,
%T 21,23,26,28,31,34,37,40,44,47,51,55,59,63,68,73,78,84,90,97,104,112,
%U 120,130,139,150,161,174,186,201,215,232,248,267,285,307,327,351,374,401
%N Number of partitions of n with distinct parts p(i) such that if i != j, then |p(i) - p(j)| >= 7.
%H Alois P. Heinz, <a href="/A025161/b025161.txt">Table of n, a(n) for n = 1..1000</a>
%F G.f.: Sum(x^(7/2*k^2-5/2*k)/Product(1-x^i, i=1..k), k=1..infinity). - _Vladeta Jovovic_, Aug 12 2004
%Y Cf. A003114, A025157-A025162.
%Y Column k=7 of A194543.
%K nonn
%O 1,9
%A _Clark Kimberling_
%E More terms from _Naohiro Nomoto_, Feb 27 2002