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A098360 Multiplication table of the cube numbers read by antidiagonals. 5

%I

%S 1,8,8,27,64,27,64,216,216,64,125,512,729,512,125,216,1000,1728,1728,

%T 1000,216,343,1728,3375,4096,3375,1728,343,512,2744,5832,8000,8000,

%U 5832,2744,512,729,4096,9261,13824,15625,13824,9261,4096,729,1000,5832,13824

%N Multiplication table of the cube numbers read by antidiagonals.

%H Robert Israel, <a href="/A098360/b098360.txt">Table of n, a(n) for n = 1..10011</a> (first 141 antidiagonals, flattened)

%F G.f. as rectangular array: [xy(1+4x+x^2)(1+4y+y^2)] / [(1-x)^4 * (1-y)^4 ]. - _Ralf Stephan_, Oct 27 2004, corrected by _Robert Israel_, Jun 27 2018

%F a(n) = A003991(n)^3.- _Robert Israel_, Jun 27 2018

%e 1; 8,8; 27,64,27; 64,216,216,64; ...

%p seq(seq(i^3*(m-i)^3,i=1..m-1),m=2..10); # _Robert Israel_, Jun 27 2018

%t With[{s = Range[10]^3}, Table[s[[#]] s[[j]] &[i - j + 1], {i, Length@s}, {j, i}]] // Flatten (* _Michael De Vlieger_, Jun 27 2018 *)

%o (GAP) Flat(List([2..11],m->List([1..m-1],i->i^3*(m-i)^3))); # _Muniru A Asiru_, Jun 27 2018

%Y Cf. A003991, A098358, A098359, A098361.

%Y Row sums: A145216. - _N. J. A. Sloane_, May 31 2009

%K nonn,tabl

%O 1,2

%A Douglas Stones (dssto1(AT)student.monash.edu.au), Sep 04 2004

%E More terms from _Ralf Stephan_, Oct 27 2004

%E Offset corrected by _Robert Israel_, Jun 27 2018

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Last modified June 16 21:35 EDT 2021. Contains 345080 sequences. (Running on oeis4.)