Search: id:A027441
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%I A027441
%S A027441 0,1,9,42,130,315,651,1204,2052,3285,5005,7326,10374,14287,19215,
%T A027441 25320,32776,41769,52497,65170,80010,97251,117139,139932,165900,
%U A027441 195325,228501,265734,307342,353655,405015,461776,524304,592977
%N A027441 (n^4+n)/2 (row sums of n X n X n magic cube, when it exists).
%C A027441 Starting with offset 1 = binomial transform of (1, 8, 25, 30, 12, 0, 
               0, 0,...). [From Gary W. Adamson (qntmpkt(AT)yahoo.com), May 20 2009]
%H A027441 <a href="Sindx_Rea.html#recLCC">Index entries for sequences related to 
               linear recurrences with constant coefficients</a>
%H A027441 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               MagicConstant.html">Link to a section of The World of Mathematics.</
               a>
%H A027441 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               MagicCube.html">Link to a section of The World of Mathematics.</a>
%F A027441 O.g.f.: -x*(1+4*x+7*x^2)/(-1+x)^5 . - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), 
               Feb 13 2008
%p A027441 a:=n->sum(-j+sum(j-sum(j, j=1..n),j=1..n),j=1..n):seq(-a(n),n=0..37);
               # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Dec 06 2008]
%Y A027441 Sequence in context: A118546 A075233 A062783 this_sequence A000971 A061927 
               A051923
%Y A027441 Adjacent sequences: A027438 A027439 A027440 this_sequence A027442 A027443 
               A027444
%K A027441 nonn
%O A027441 0,3
%A A027441 Eric Weisstein (eric(AT)weisstein.com)

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