

A225252


T(n,k) = number of distinct values of the sum of n products of two 0..k integers.


6



2, 4, 3, 7, 8, 4, 10, 16, 12, 5, 15, 27, 25, 16, 6, 19, 42, 43, 34, 20, 7, 26, 59, 67, 59, 43, 24, 8, 31, 81, 95, 92, 75, 52, 28, 9, 37, 105, 130, 131, 117, 91, 61, 32, 10, 43, 134, 169, 179, 167, 142, 107, 70, 36, 11, 54, 167, 215, 233, 228, 203, 167, 123, 79, 40, 12, 60, 203, 267
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,1


LINKS



FORMULA

Empirical: column k is n*k^2  A225255(k) for large n (n>2 suffices through k=1000).


EXAMPLE

Table starts:
..2..4..7..10..15..19..26..31..37..43...54...60...73...81...90...98..115..124
..3..8.16..27..42..59..81.105.134.167..203..241..285..331..381..436..495..556
..4.12.25..43..67..95.130.169.215.267..324..385..454..527..606..692..784..880
..5.16.34..59..92.131.179.233.296.367..445..529..623..723..831..948.1073.1204
..6.20.43..75.117.167.228.297.377.467..566..673..792..919.1056.1204.1362.1528
..7.24.52..91.142.203.277.361.458.567..687..817..961.1115.1281.1460.1651.1852
..8.28.61.107.167.239.326.425.539.667..808..961.1130.1311.1506.1716.1940.2176
..9.32.70.123.192.275.375.489.620.767..929.1105.1299.1507.1731.1972.2229.2500
.10.36.79.139.217.311.424.553.701.867.1050.1249.1468.1703.1956.2228.2518.2824
.11.40.88.155.242.347.473.617.782.967.1171.1393.1637.1899.2181.2484.2807.3148


CROSSREFS



KEYWORD



AUTHOR



STATUS

approved



