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A025161 Number of partitions of n with distinct parts p(i) such that if i != j, then |p(i) - p(j)| >= 7. 3

%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

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Last modified April 19 10:56 EDT 2024. Contains 371791 sequences. (Running on oeis4.)