A225252 T(n,k) = number of distinct values of the sum of n products of two 0..k integers.

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

Offset

1,1

Links

R. H. Hardin, Table of n, a(n) for n = 1..1325

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

Row 1 is A027384.

Cf. A225255.

Sequence in context: A260432 A021808 A365215 * A235201 A292958 A235493

Adjacent sequences: A225249 A225250 A225251 * A225253 A225254 A225255

Keyword

nonn,tabl

Author

R. H. Hardin, May 04 2013

Status

approved