%I A102463
%S A102463 1,1,2,3,4,6,8,11,13,18,21,30,33,40,49,58,68,79,94,110,128,149,168,197,
%T A102463 217,253,282,328,360,421,452,520,567,652,692,812,868,980,1053,1188,1278,
%U A102463 1449,1545,1731,1837,2081,2185,2457,2598,2901,3062,3421,3603,4002,4200
%N A102463 a(n) = number of distinct values of (sum_{i=1..r} x_i)!/(prod_{i=1..r} 
               x_i!), where (x_1, ..., x_r) is an r-tuple of nonnegative integers 
               with sum_{i=1..r} i*x_i = n.
%C A102463 The r-tuples correspond to the partitions of n and for each r-tuple, 
               (sum_{i=1..r} x_i)!/(prod_{i=1..r} x_i!) is the number of permutations 
               of the corresponding partition. - David Wasserman (dwasserm(AT)earthlink.net), 
               Apr 07 2008
%e A102463 a(4) = 3 because the 5 tuples (0, 0, 0, 1), (1, 0, 1), (0, 2), (2, 1) 
               and (4) yield three different values, 1, 2 and 3: 1!/1! = 1, 2!/1!*1! 
               = 2, 2!/2! = 1, 3!/2!*1! = 3 and 4!/4! = 1.
%Y A102463 Cf. A102462, A102464, A102465.
%Y A102463 Sequence in context: A080329 A002858 A105799 this_sequence A056829 A071764 
               A059291
%Y A102463 Adjacent sequences: A102460 A102461 A102462 this_sequence A102464 A102465 
               A102466
%K A102463 nonn
%O A102463 1,3
%A A102463 Vladeta Jovovic (vladeta(AT)eunet.rs), Feb 23 2005
%E A102463 More terms and better description from David Wasserman (dwasserm(AT)earthlink.net), 
               Apr 07 2008