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A098360 Multiplication table of the cube numbers read by antidiagonals. 5
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 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

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

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

EXAMPLE

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

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 *)

PROG

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

CROSSREFS

Cf. A003991, A098358, A098359, A098361.

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

Sequence in context: A319089 A003873 A077110 * A133038 A255275 A253104

Adjacent sequences:  A098357 A098358 A098359 * A098361 A098362 A098363

KEYWORD

nonn,tabl

AUTHOR

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

EXTENSIONS

More terms from Ralf Stephan, Oct 27 2004

Offset corrected by Robert Israel, Jun 27 2018

STATUS

approved

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Last modified October 16 20:55 EDT 2019. Contains 328103 sequences. (Running on oeis4.)