

A205542


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.


7



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, 45, 9, 15, 25, 41, 65, 97, 125, 57, 10, 17, 29, 49, 81, 129, 193, 185, 117, 11, 19, 33, 57, 97, 161, 257, 385, 479, 243, 12, 21, 37, 65, 113, 193, 321, 513, 763, 935, 395, 13, 23, 41, 73, 129
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OFFSET

0,1


COMMENTS

Table starts
..2...3...4...5...6...7...8....9...10...11...12...13...14...15...16...17...18
..3...5...7...9..11..13..15...17...19...21...23...25...27...29...31...33...35
..5...9..13..17..21..25..29...33...37...41...45...49...53...57...61...65...69
..9..17..25..33..41..49..57...65...73...81...89...97..105..113..121..129..137
.15..33..49..65..81..97.113..129..145..161..177..193..209..225..241..257..273
.21..65..97.129.161.193.225..257..289..321..353..385..417..449..481..513..545
.45.125.193.257.321.385.449..513..577..641..705..769..833..897..961.1025.1089
.57.185.385.513.641.769.897.1025.1153.1281.1409.1537.1665.1793.1921.2049


LINKS

R. H. Hardin, Table of n, a(n) for n = 0..271


CROSSREFS

Sequence in context: A260717 A282719 A061451 * A086155 A187112 A094606
Adjacent sequences: A205539 A205540 A205541 * A205543 A205544 A205545


KEYWORD

nonn,tabl


AUTHOR

R. H. Hardin, Jan 28 2012


STATUS

approved



