%I A101094
%S A101094 1,11,57,203,574,1386,2982,5874,10791,18733,31031,49413,76076,113764,
%T A101094 165852,236436,330429,453663,612997,816431,1073226,1394030,1791010,
%U A101094 2277990,2870595,3586401,4445091,5468617,6681368,8110344,9785336
%N A101094 Third partial sums of cubes (A000578).
%H A101094 C. Rossiter, <a href="http://noticingnumbers.net/300SeriesCube.htm">Depictions, 
               Explorations and Formulas of the Euler/Pascal Cube</a>.
%F A101094 a(n) = {(n*(1 + n)*(2 + n)*(3 + n)*(1 + n*(3 + n)))/120}.
%F A101094 This sequence could be obtained from the general formula n*(n+1)*(n+2)*(n+3)* 
               ...* (n+k) *(n*(n+k) + (k-1)*k/6)/((k+3)!/6) at k=3. - Alexander 
               R. Povolotsky (pevnev(AT)juno.com), May 17 2008
%t A101094 s1=s2=s3=0; lst={}; Do[s1+=n^3; s2+=s1; s3+=s2; AppendTo[lst,s3],{n,0,
               6!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Jan 15 
               2009]
%o A101094 (PARI) a(n)=sum(l=1,n,sum(j=1,l, sum(m=1, j, sum(i=m*(m+1)/2-m+1, m*(m+1)/
               2, (2*i-1))))) - Alexander R. Povolotsky (pevnev(AT)juno.com), May 
               17 2008
%Y A101094 Cf. A024166, A101097.
%Y A101094 Cf. A101102, A101097, A024166, A000537.
%Y A101094 Cf. A024166 [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Jan 15 
               2009]
%Y A101094 Sequence in context: A051946 A114030 A071984 this_sequence A014470 A048366 
               A107425
%Y A101094 Adjacent sequences: A101091 A101092 A101093 this_sequence A101095 A101096 
               A101097
%K A101094 easy,nonn
%O A101094 1,2
%A A101094 Cecilia Rossiter (cecilia(AT)noticingnumbers.net), Dec 15 2004
%E A101094 Edited by Ralf Stephan, Dec 16 2004