|
%I #9 Feb 06 2014 09:14:19
%S 1,3,2,3,4,35,18,43,64,16,25,19,556,26,89,19,655,1322,1749,463,1513,
%T 2633,10206,941,16851,3587,4549,4935,43453,54563,68135,28309,35122,
%U 65231,160876,99007,242812,297201,362587,10513,536104,216597,785437,236953,76063
%N Denominator of the mean of all parts of all partitions of n.
%C The arithmetic mean, M(n), of all parts of all partitions of n can be approximated by n^e(n), as typified by these pairs:
%C n ..... 100 .... 1000 .... 2000 .... 3000 .... 4000 .... 5000
%C e(n) .. 0.331 .. 0.3410 .. 0.3447 .. 0.3468 .. 0.3483 .. 0.3495
%H Alois P. Heinz, <a href="/A236361/b236361.txt">Table of n, a(n) for n = 1..1000</a>
%F M(n) = A066186(n)/A006128(n).
%e First eight means: 1, 4/3, 3/2, 5/3, 7/4, 66/35, 35/18, 88/43.
%Y Cf. A006128, A066186, A236360.
%K nonn,frac,easy
%O 1,2
%A _Clark Kimberling_, Jan 24 2014
|
