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

0,5

Links

Table of n, a(n) for n=0..66.

Example

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

Maple

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

Crossrefs

Cf. A002378, A072389, A053990.

Sequence in context: A249346 A035539 A178517 * A092219 A262227 A336731

Adjacent sequences: A049204 A049205 A049206 * A049208 A049209 A049210

Keyword

nonn,tabl,easy

Author

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

Extensions

Corrected and extended by Emeric Deutsch, Mar 04 2004

Status

approved