A098360 Multiplication table of the cube numbers read by antidiagonals.

1, 8, 8, 27, 64, 27, 64, 216, 216, 64, 125, 512, 729, 512, 125, 216, 1000, 1728, 1728, 1000, 216, 343, 1728, 3375, 4096, 3375, 1728, 343, 512, 2744, 5832, 8000, 8000, 5832, 2744, 512, 729, 4096, 9261, 13824, 15625, 13824, 9261, 4096, 729, 1000, 5832, 13824

Offset: 1

Author

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

Keywords

• nonn
• tabl

Examples

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

Links

• Robert Israel, Table of n, a(n) for n = 1..10011 (first 141 antidiagonals, flattened)

Crossrefs

Cf. A003991, A098358, A098359, A098361.

Row sums: A145216. - N. J. A. Sloane, May 31 2009

Programs

GAP

Flat(List([2..11],m->List([1..m-1],i->i^3*(m-i)^3))); # Muniru A Asiru, Jun 27 2018

Maple

seq(seq(i^3*(m-i)^3,i=1..m-1),m=2..10); # Robert Israel, Jun 27 2018

Mathematica

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

Formula

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

a(n) = A003991(n)^3.- Robert Israel, Jun 27 2018

Extensions

More terms from Ralf Stephan, Oct 27 2004

Offset corrected by Robert Israel, Jun 27 2018