A225246 T(n,k)=Number of distinct values of the sum of n products of a 0..k-1 and a 0..k integer.

1, 3, 1, 6, 5, 1, 9, 12, 7, 1, 14, 22, 18, 9, 1, 18, 36, 34, 24, 11, 1, 25, 53, 56, 46, 30, 13, 1, 30, 74, 83, 76, 58, 36, 15, 1, 36, 98, 116, 113, 96, 70, 42, 17, 1, 42, 126, 154, 158, 143, 116, 82, 48, 19, 1, 53, 158, 198, 210, 200, 173, 136, 94, 54, 21, 1, 59, 193, 248, 270, 266

Offset: 1

Author

R. H. Hardin May 04 2013

Keywords

• nonn
• tabl

Comments

Table starts

.1..3..6...9..14..18..25..30..36..42...53...59...72...80...89...97..114..123

.1..5.12..22..36..53..74..98.126.158..193..231..274..320..369..423..481..542

.1..7.18..34..56..83.116.154.198.248..303..363..430..502..579..663..753..848

.1..9.24..46..76.113.158.210.270.338..413..495..586..684..789..903.1025.1154

.1.11.30..58..96.143.200.266.342.428..523..627..742..866..999.1143.1297.1460

.1.13.36..70.116.173.242.322.414.518..633..759..898.1048.1209.1383.1569.1766

.1.15.42..82.136.203.284.378.486.608..743..891.1054.1230.1419.1623.1841.2072

.1.17.48..94.156.233.326.434.558.698..853.1023.1210.1412.1629.1863.2113.2378

.1.19.54.106.176.263.368.490.630.788..963.1155.1366.1594.1839.2103.2385.2684

.1.21.60.118.196.293.410.546.702.878.1073.1287.1522.1776.2049.2343.2657.2990

Links

• R. H. Hardin, Table of n, a(n) for n = 1..1325

Crossrefs

Row 1 is A027424

Formula

Empirical: column k is n*k*(k-1) - A225249(k) for large n (n>2 suffices through at least k=555)