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

2, 5, 3, 11, 12, 4, 17, 36, 20, 5, 31, 75, 63, 28, 6, 41, 157, 141, 90, 36, 7, 66, 254, 284, 205, 117, 44, 8, 81, 434, 478, 409, 269, 144, 52, 9, 101, 635, 780, 694, 534, 333, 171, 60, 10, 121, 911, 1156, 1123, 910, 659, 397, 198, 68, 11, 174, 1237, 1667, 1668, 1466, 1126

Offset: 1

Author

R. H. Hardin May 04 2013

Keywords

• nonn
• tabl

Comments

Table starts

..2..5..11..17...31...41...66...81..101..121...174...195...267...302...344

..3.12..36..75..157..254..434..635..911.1237..1734..2162..2908..3611..4461

..4.20..63.141..284..478..780.1156.1667.2298..3111..4012..5213..6520..8063

..5.28..90.205..409..694.1123.1668.2396.3298..4442..5741..7410..9266.11443

..6.36.117.269..534..910.1466.2180.3125.4298..5773..7469..9607.12010.14818

..7.44.144.333..659.1126.1809.2692.3854.5298..7104..9197.11804.14754.18193

..8.52.171.397..784.1342.2152.3204.4583.6298..8435.10925.14001.17498.21568

..9.60.198.461..909.1558.2495.3716.5312.7298..9766.12653.16198.20242.24943

.10.68.225.525.1034.1774.2838.4228.6041.8298.11097.14381.18395.22986.28318

.11.76.252.589.1159.1990.3181.4740.6770.9298.12428.16109.20592.25730.31693

Links

• R. H. Hardin, Table of n, a(n) for n = 1..1703

Crossrefs

Row 1 is A027426

Formula

Empirical: column k is n*k^3 - A225263(k) for large n (n>4 suffices through k=138)