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

1,1

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

Formula

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

Crossrefs

Row 1 is A027426

Sequence in context: A185061 A129198 A122442 * A162613 A120858 A124937

Adjacent sequences: A225255 A225256 A225257 * A225259 A225260 A225261

Keyword

nonn,tabl

Author

R. H. Hardin May 04 2013

Status

approved