%I A096162
%S A096162 1,1,2,1,1,6,1,1,2,2,24,1,1,1,2,2,6,120,1,1,1,2,2,1,6,6,4,24,720,1,1,1,
%T A096162 1,2,1,2,2,6,2,6,24,12,120,5040,1,1,1,1,2,2,1,1,2,2,6,2,4,2,24,24,6,12,
%U A096162 120,48,720,40320,1,1,1,1,1,2,1,1,2,2,1,6,6,2,2,2,2,6,24,6,12,4,24,120
%N A096162 Let n be a number partitioned as n = b_1 +2*b_2 + ... + n*b_n; then a(n) 
               = (b_1)! * (b_2)! * ... (b_n)!.
%D A096162 Abramowitz and Stegun, Handbook of Mathematical Functions, p. 831, column 
               "M_1" divided by "M_3."
%H A096162 M. Abramowitz and I. A. Stegun, eds., <a href="http://www.nrbook.com/
               abramowitz_and_stegun/">Handbook of Mathematical Functions</a>, National 
               Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 
               [alternative scanned copy].
%F A096162 a(n) = A036038(n) / A036040(n)
%e A096162 1 1 2 1 3 6 1 4 6 12 24 ... A036038
%e A096162 1 1 1 1 3 1 1 4 3 6 1 ... A036040
%e A096162 so
%e A096162 1 1 2 1 1 6 1 1 2 2 24 ... A096162
%e A096162 1; 1,2; 1,1,6; 1,1,2,2,24; 1,1,1,2,2,6,120; ...
%Y A096162 Cf. A096161.
%Y A096162 Row sums: A096161. Row lengths in A000041.
%Y A096162 Sequence in context: A025264 A139622 A152656 this_sequence A053383 A125731 
               A123361
%Y A096162 Adjacent sequences: A096159 A096160 A096161 this_sequence A096163 A096164 
               A096165
%K A096162 easy,nonn,tabf
%O A096162 1,3
%A A096162 Alford Arnold (Alford1940(AT)aol.com), Jun 20 2004
%E A096162 Edited and extended by Christian G. Bower (bowerc(AT)usa.net), Jan 17 
               2006