%I #5 May 04 2013 17:52:30
%S 2,5,3,11,12,4,17,36,20,5,31,75,63,28,6,41,157,141,90,36,7,66,254,284,
%T 205,117,44,8,81,434,478,409,269,144,52,9,101,635,780,694,534,333,171,
%U 60,10,121,911,1156,1123,910,659,397,198,68,11,174,1237,1667,1668,1466,1126
%N T(n,k)=Number of distinct values of the sum of n products of three 0..k integers
%C Table starts
%C ..2..5..11..17...31...41...66...81..101..121...174...195...267...302...344
%C ..3.12..36..75..157..254..434..635..911.1237..1734..2162..2908..3611..4461
%C ..4.20..63.141..284..478..780.1156.1667.2298..3111..4012..5213..6520..8063
%C ..5.28..90.205..409..694.1123.1668.2396.3298..4442..5741..7410..9266.11443
%C ..6.36.117.269..534..910.1466.2180.3125.4298..5773..7469..9607.12010.14818
%C ..7.44.144.333..659.1126.1809.2692.3854.5298..7104..9197.11804.14754.18193
%C ..8.52.171.397..784.1342.2152.3204.4583.6298..8435.10925.14001.17498.21568
%C ..9.60.198.461..909.1558.2495.3716.5312.7298..9766.12653.16198.20242.24943
%C .10.68.225.525.1034.1774.2838.4228.6041.8298.11097.14381.18395.22986.28318
%C .11.76.252.589.1159.1990.3181.4740.6770.9298.12428.16109.20592.25730.31693
%H R. H. Hardin, <a href="/A225258/b225258.txt">Table of n, a(n) for n = 1..1703</a>
%F Empirical: column k is n*k^3 - A225263(k) for large n (n>4 suffices through k=138)
%Y Row 1 is A027426
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ May 04 2013