%I #17 Sep 15 2019 16:30:30
%S 2,3,3,4,5,5,5,7,9,9,6,9,13,17,15,7,11,17,25,33,21,8,13,21,33,49,65,
%T 45,9,15,25,41,65,97,125,57,10,17,29,49,81,129,193,185,117,11,19,33,
%U 57,97,161,257,385,479,243,12,21,37,65,113,193,321,513,763,935,395,13,23,41,73,129
%N T(n,k) = Number of distinct values of Sum_{i=0..n} x(i)*binomial(n,i) where the x(i) have values in 0..k.
%C Table starts
%C ..2...3...4...5...6...7...8....9...10...11...12...13...14...15...16...17...18
%C ..3...5...7...9..11..13..15...17...19...21...23...25...27...29...31...33...35
%C ..5...9..13..17..21..25..29...33...37...41...45...49...53...57...61...65...69
%C ..9..17..25..33..41..49..57...65...73...81...89...97..105..113..121..129..137
%C .15..33..49..65..81..97.113..129..145..161..177..193..209..225..241..257..273
%C .21..65..97.129.161.193.225..257..289..321..353..385..417..449..481..513..545
%C .45.125.193.257.321.385.449..513..577..641..705..769..833..897..961.1025.1089
%C .57.185.385.513.641.769.897.1025.1153.1281.1409.1537.1665.1793.1921.2049
%H R. H. Hardin, <a href="/A205542/b205542.txt">Table of n, a(n) for n = 0..271</a>
%K nonn,tabl
%O 0,1
%A _R. H. Hardin_, Jan 28 2012
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