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

%I #5 Mar 30 2012 17:35:51

%S 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,

%T 60,0,0,84,180,240,240,180,84,0,0,112,252,360,400,360,252,112,0,0,144,

%U 336,504,600,600,504,336,144,0,0,180,432,672,840,900,840,672,432,180,0,0

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

%e Array begins

%e 0 0 0 0 0 0 ...

%e 0 4 12 24 40 ...

%e 0 12 36 72 120 ...

%e 0 24 72 144 240 ...

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

%Y Cf. A002378, A072389, A053990.

%K nonn,tabl,easy

%O 0,5

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

%E Corrected and extended by _Emeric Deutsch_, Mar 04 2004