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

1,2

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

Formula

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

Crossrefs

Row 1 is A027424

Sequence in context: A371667 A016575 A308948 * A116666 A208331 A061702

Adjacent sequences: A225243 A225244 A225245 * A225247 A225248 A225249

Keyword

nonn,tabl

Author

R. H. Hardin May 04 2013

Status

approved