%I A116082
%S A116082 0,1,3,7,15,31,63,127,254,501,967,1815,3301,5811,9907,16383,26332,41225,
%T A116082 63003,94183,137979,198439,280599,390655,536154,726205,971711,1285623,
%U A116082 1683217,2182395,2804011,3572223,4514872,5663889,7055731,8731847
%N A116082 C(n,7) + C(n,6) + C(n,5) + C(n,4) + C(n,3) + C(n,2) + C(n,1).
%D A116082 Michael Boardman, The Egg-Drop Numbers, Mathematics Magazine, 77 (2004), 
               368-372. See Table 2 on page 370. [From Parthasarathy Nambi (PachaNambi(AT)yahoo.com), 
               Jun 18 2009]
%F A116082 a(n)=n(n^6-14n^5+112n^4-350n^3+1099n^2+364n+3828)/5040. - Emeric Deutsch 
               (deutsch(AT)duke.poly.edu), Apr 14 2006
%p A116082 a:=n->n*(n^6-14*n^5+112*n^4-350*n^3+1099*n^2+364*n+3828)/5040: seq(a(n),
               n=0..35); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Apr 14 2006
%p A116082 seq(sum(binomial(n,k),k=1..7),n=0..35); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), 
               Dec 14 2007
%Y A116082 a(n) = A000580(n) + A000579(n) + A000389(n) + A000332(n) + A000292(n) 
               + A000217(n) + n. a(n) = A000580(n) + A115567(n).
%Y A116082 A000217, A000225, A004006, A055795, A057703, A115567, A116082 [From Parthasarathy 
               Nambi (PachaNambi(AT)yahoo.com), Jun 18 2009]
%Y A116082 Sequence in context: A147596 A115567 A043740 this_sequence A043747 A105754 
               A116690
%Y A116082 Adjacent sequences: A116079 A116080 A116081 this_sequence A116083 A116084 
               A116085
%K A116082 easy,nonn
%O A116082 0,3
%A A116082 Jonathan Vos Post (jvospost3(AT)gmail.com), Mar 13 2006