A049207 Array T(m,n) of products of pronic numbers m(m+1) * n(n+1) read by antidiagonals ("bipronics").

0, 0, 0, 0, 4, 0, 0, 12, 12, 0, 0, 24, 36, 24, 0, 0, 40, 72, 72, 40, 0, 0, 60, 120, 144, 120, 60, 0, 0, 84, 180, 240, 240, 180, 84, 0, 0, 112, 252, 360, 400, 360, 252, 112, 0, 0, 144, 336, 504, 600, 600, 504, 336, 144, 0, 0, 180, 432, 672, 840, 900, 840, 672, 432, 180, 0, 0

Offset: 0

Author

Stuart M. Ellerstein (ellerstein(AT)aol.com), Jul 20 2002

Keywords

• nonn
• tabl
• easy

Examples

			Array begins
0 0 0 0 0 0 ...
0 4 12 24 40 ...
0 12 36 72 120 ...
0 24 72 144 240 ...
		

Crossrefs

Cf. A002378, A072389, A053990.

Programs

Maple

T := (m,n)->m*(m+1)*n*(n+1): seq(seq(T(q-p,p),p=0..q),q=0..12);

Extensions

Corrected and extended by Emeric Deutsch, Mar 04 2004