Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #5 May 04 2013 10:33:56
%S 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,
%T 1,30,74,83,76,58,36,15,1,36,98,116,113,96,70,42,17,1,42,126,154,158,
%U 143,116,82,48,19,1,53,158,198,210,200,173,136,94,54,21,1,59,193,248,270,266
%N T(n,k)=Number of distinct values of the sum of n products of a 0..k-1 and a 0..k integer
%C Table starts
%C .1..3..6...9..14..18..25..30..36..42...53...59...72...80...89...97..114..123
%C .1..5.12..22..36..53..74..98.126.158..193..231..274..320..369..423..481..542
%C .1..7.18..34..56..83.116.154.198.248..303..363..430..502..579..663..753..848
%C .1..9.24..46..76.113.158.210.270.338..413..495..586..684..789..903.1025.1154
%C .1.11.30..58..96.143.200.266.342.428..523..627..742..866..999.1143.1297.1460
%C .1.13.36..70.116.173.242.322.414.518..633..759..898.1048.1209.1383.1569.1766
%C .1.15.42..82.136.203.284.378.486.608..743..891.1054.1230.1419.1623.1841.2072
%C .1.17.48..94.156.233.326.434.558.698..853.1023.1210.1412.1629.1863.2113.2378
%C .1.19.54.106.176.263.368.490.630.788..963.1155.1366.1594.1839.2103.2385.2684
%C .1.21.60.118.196.293.410.546.702.878.1073.1287.1522.1776.2049.2343.2657.2990
%H R. H. Hardin, <a href="/A225246/b225246.txt">Table of n, a(n) for n = 1..1325</a>
%F Empirical: column k is n*k*(k-1) - A225249(k) for large n (n>2 suffices through at least k=555)
%Y Row 1 is A027424
%K nonn,tabl
%O 1,2
%A _R. H. Hardin_ May 04 2013