%I A054849
%S A054849 1,12,84,448,2016,8064,29568,101376,329472,1025024,3075072,8945664,
%T A054849 25346048,70189056,190513152,508035072,1333592064,3451650048,
%U A054849 8820883456,22284337152,55710842880,137950658560,338606161920
%N A054849 2^(n-5)*C(n,5). Number of 5D hypercubes in an n-dimensional hypercube.
%C A054849 With 5 leading zeros, binomial transform of C(n,5) - Paul Barry (pbarry(AT)wit.ie), 
               Apr 10 2003
%C A054849 If X_1,X_2,...,X_n is a partition of a 2n-set X into 2-blocks then, for 
               n>4, a(n) is equal to the number of (n+5)-subsets of X intersecting 
               each X_i (i=1,2,...,n). - Milan R. Janjic (agnus(AT)blic.net), Jul 
               21 2007
%C A054849 With a different offset, number of n-permutations (n=6) of 3 objects: 
               u,v,z with repetition allowed, containing exactly five (5) u's. Example: 
               a(1)=12 because we have uuuuuv, uuuuvu, uuuvuu, uuvuuu, uvuuuu, vuuuuu, 
               uuuuuz, uuuuzu, uuuzuu, uuzuuu, uzuuuu and zuuuuu. - Zerinvary Lajos 
               (zerinvarylajos(AT)yahoo.com), Jun 13 2008
%H A054849 Milan Janjic, <a href="http://www.pmfbl.org/janjic/">Two Enumerative 
               Functions</a>
%F A054849 a(n)=2*a(n-1)+A003472(n-1)
%F A054849 G.f. 1/(1-2x)^6 E.g.f. exp(2x)(x^5/5!) (with 5 leading zeros) - Paul 
               Barry (pbarry(AT)wit.ie), Apr 10 2003
%p A054849 seq(binomial(n+5,5)*2^n,n=0..22); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), 
               Jun 13 2008
%o A054849 (Other) SAGE: [lucas_number2(n, 2, 0)*binomial(n,5)/32 for n in xrange(5, 
               28)] [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 10 
               2009]
%Y A054849 Cf. A000079, A001787, A001788, A001789, A003472, A002409, A054851, A038207.
%Y A054849 Equals 2 * A082139. First differences are in A006975.
%Y A054849 Sequence in context: A085409 A111464 A004407 this_sequence A000761 A003209 
               A155645
%Y A054849 Adjacent sequences: A054846 A054847 A054848 this_sequence A054850 A054851 
               A054852
%K A054849 easy,nonn
%O A054849 5,2
%A A054849 Henry Bottomley (se16(AT)btinternet.com), Apr 14 2000
%E A054849 More terms from James A. Sellers (sellersj(AT)math.psu.edu), Apr 15 2000