Search: id:A057788
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%I A057788
%S A057788 1,13,90,442,1729,5733,16744,44200,107406,243542,520676,1058148,
%T A057788 2057510,3848222,6953544,12183560,20764055,34512075,56071470,89224590,
%U A057788 139299615,213696795,322561200,479634480,703323660,1018031196,1455797448
%N A057788 Expansion of (1+x)/(1-x)^12.
%C A057788 1/2^10 of twelfth unsigned column of triangle A053120 (T-Chebyshev, rising 
               powers, zeros omitted).
%C A057788 If a 2-set Y and an (n-3)-set Z are disjoint subsets of an n-set X then 
               a(n-12) is the number of 12-subsets of X intersecting both Y and 
               Z. - Milan R. Janjic (agnus(AT)blic.net), Sep 08 2007
%C A057788 11-dimensional square numbers, tenth partial sums of binomial transform 
               of [1,2,0,0,0,...]. a(n)=sum{i=0,n,C(n+10,i+10)*b(i)}, where b(i)=[1,
               2,0,0,0,...]. [From Borislav St. Borisov (b.st.borisov(AT)abv.bg), 
               Mar 05 2009]
%H A057788 Milan Janjic, <a href="http://www.pmfbl.org/janjic/">Two Enumerative 
               Functions</a>
%H A057788 <a href="Sindx_Ch.html#Cheby">Index entries for sequences related to 
               Chebyshev polynomials.</a>
%F A057788 a(n)=2*C(n+11, 11)-C(n+10, 10). - Paul Barry (pbarry(AT)wit.ie), Mar 
               04 2003
%F A057788 a(n)=C(n+10,10)+2*C(n+10,11) [From Borislav St. Borisov (b.st.borisov(AT)abv.bg), 
               Mar 05 2009]
%t A057788 s1=s2=s3=s4=s5=s6=s7=s8=s9=0; lst={}; Do[s1+=n^2; s2+=s1; s3+=s2; s4+=s3; 
               s5+=s4; s6+=s5; s7+=s6; s8+=s7; s9+=s8; AppendTo[lst,s9],{n,0,7!}]; 
               lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Jan 15 2009]
%Y A057788 Cf. A054334, A054333, A053347, A002415.
%Y A057788 Cf. A005585, A040977, A050486, A053347, A054333, A054334 [From Vladimir 
               Orlovsky (4vladimir(AT)gmail.com), Jan 15 2009]
%Y A057788 Partial sums of A054334 [From Borislav St. Borisov (b.st.borisov(AT)abv.bg), 
               Mar 05 2009]
%Y A057788 Sequence in context: A082099 A152867 A026912 this_sequence A166215 A131700 
               A156947
%Y A057788 Adjacent sequences: A057785 A057786 A057787 this_sequence A057789 A057790 
               A057791
%K A057788 nonn
%O A057788 0,2
%A A057788 N. J. A. Sloane (njas(AT)research.att.com), Nov 04 2000

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