A225273 T(n,k)=Number of distinct values of the sum of i^2 over n realizations of i in 0..k.

2, 3, 3, 4, 6, 4, 5, 10, 10, 5, 6, 15, 19, 14, 6, 7, 20, 32, 29, 18, 7, 8, 27, 45, 50, 38, 22, 8, 9, 34, 67, 74, 66, 47, 26, 9, 10, 42, 88, 111, 99, 82, 56, 30, 10, 11, 51, 116, 149, 147, 124, 98, 65, 34, 11, 12, 61, 145, 197, 201, 183, 149, 114, 74, 38, 12, 13, 71, 179, 247, 262

Offset: 1

Author

R. H. Hardin May 04 2013

Keywords

• nonn
• tabl

Comments

Table starts

..2..3..4...5...6...7...8...9..10..11...12...13...14...15...16...17...18...19

..3..6.10..15..20..27..34..42..51..61...71...83...94..106..120..135..148..165

..4.10.19..32..45..67..88.116.145.179..212..260..300..347..402..464..517..592

..5.14.29..50..74.111.149.197.247.308..370..451..526..613..706..815..914.1037

..6.18.38..66..99.147.201.262.332.411..498..601..702..819..946.1078.1221.1375

..7.22.47..82.124.183.250.326.414.513..621..749..874.1018.1176.1338.1515.1706

..8.26.56..98.149.219.299.390.496.614..742..894.1045.1215.1404.1597.1807.2032

..9.30.65.114.174.255.348.454.577.715..863.1038.1216.1412.1630.1856.2098.2357

.10.34.74.130.199.291.397.518.658.815..984.1182.1385.1608.1855.2114.2388.2681

.11.38.83.146.224.327.446.582.739.915.1105.1326.1554.1804.2080.2370.2677.3005

Links

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

Crossrefs

Row 1 is A000027(n+1)

Row 2 is A047800

Row 3 is A034966

Row 4 is A047801

Row 5 is A132432(n+1)

Row 6 is A132438(n+1)

Formula

Empirical: column k is n*k^2 - A225277(k) for large n (n>36 suffices for k through 210)