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A225258 T(n,k)=Number of distinct values of the sum of n products of three 0..k integers.

%I A225258 #7 Jul 23 2025 05:22:54
%S A225258 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 A225258 205,117,44,8,81,434,478,409,269,144,52,9,101,635,780,694,534,333,171,
%U A225258 60,10,121,911,1156,1123,910,659,397,198,68,11,174,1237,1667,1668,1466,1126
%N A225258 T(n,k)=Number of distinct values of the sum of n products of three 0..k integers.
%C A225258 Table starts
%C A225258 ..2..5..11..17...31...41...66...81..101..121...174...195...267...302...344
%C A225258 ..3.12..36..75..157..254..434..635..911.1237..1734..2162..2908..3611..4461
%C A225258 ..4.20..63.141..284..478..780.1156.1667.2298..3111..4012..5213..6520..8063
%C A225258 ..5.28..90.205..409..694.1123.1668.2396.3298..4442..5741..7410..9266.11443
%C A225258 ..6.36.117.269..534..910.1466.2180.3125.4298..5773..7469..9607.12010.14818
%C A225258 ..7.44.144.333..659.1126.1809.2692.3854.5298..7104..9197.11804.14754.18193
%C A225258 ..8.52.171.397..784.1342.2152.3204.4583.6298..8435.10925.14001.17498.21568
%C A225258 ..9.60.198.461..909.1558.2495.3716.5312.7298..9766.12653.16198.20242.24943
%C A225258 .10.68.225.525.1034.1774.2838.4228.6041.8298.11097.14381.18395.22986.28318
%C A225258 .11.76.252.589.1159.1990.3181.4740.6770.9298.12428.16109.20592.25730.31693
%H A225258 R. H. Hardin, <a href="/A225258/b225258.txt">Table of n, a(n) for n = 1..1703</a>
%F A225258 Empirical: column k is n*k^3 - A225263(k) for large n (n>4 suffices through k=138)
%Y A225258 Row 1 is A027426
%K A225258 nonn,tabl
%O A225258 1,1
%A A225258 _R. H. Hardin_ May 04 2013