%I A100381
%S A100381 0,0,4,24,96,320,960,2688,7168,18432,46080,112640,270336,638976,1490944,
%T A100381 3440640,7864320,17825792,40108032,89653248,199229440,440401920,
%U A100381 968884224,2122317824,4630511616,10066329600,21810380800,47110422528
%N A100381 2^n*binomial(n,2).
%C A100381 Equals 2*A001815 - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Oct 
               09 2006
%C A100381 Contribution from Johannes W. Meijer (meijgia(AT)hotmail.com), Jun 27 
               2009: (Start)
%C A100381 Equals 4*A001788(n-1).
%C A100381 (End)
%F A100381 1-log(2) is the sum of reciprocals of a(n), n=2,3,4,... (log means natural 
               logarithm) - Graeme McRae (g_m(AT)mcraefamily.com), Jul 28 2006
%F A100381 a(n)=sum(k*2^k, k=0..n). - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), 
               Oct 09 2006
%p A100381 seq(2^n*binomial(n,2),n=0..20);
%o A100381 (Other) SAGE: [lucas_number2(n, 2, 0)*binomial(n,2) for n in xrange(0, 
               20)] [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 10 
               2009]
%Y A100381 Contribution from Johannes W. Meijer (meijgia(AT)hotmail.com), Jun 27 
               2009: (Start)
%Y A100381 Appears in A162007.
%Y A100381 (End)
%Y A100381 Sequence in context: A009769 A119878 A054603 this_sequence A091143 A119920 
               A100738
%Y A100381 Adjacent sequences: A100378 A100379 A100380 this_sequence A100382 A100383 
               A100384
%K A100381 nonn
%O A100381 0,3
%A A100381 Jorge Coveiro (jorgecoveiro(AT)yahoo.com), Dec 30 2004