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

%I A225252 #11 Sep 04 2023 16:36:52
%S A225252 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,
%T A225252 24,8,31,81,95,92,75,52,28,9,37,105,130,131,117,91,61,32,10,43,134,
%U A225252 169,179,167,142,107,70,36,11,54,167,215,233,228,203,167,123,79,40,12,60,203,267
%N A225252 T(n,k) = number of distinct values of the sum of n products of two 0..k integers.
%H A225252 R. H. Hardin, <a href="/A225252/b225252.txt">Table of n, a(n) for n = 1..1325</a>
%F A225252 Empirical: column k is n*k^2 - A225255(k) for large n (n>2 suffices through k=1000).
%e A225252 Table starts:
%e A225252 ..2..4..7..10..15..19..26..31..37..43...54...60...73...81...90...98..115..124
%e A225252 ..3..8.16..27..42..59..81.105.134.167..203..241..285..331..381..436..495..556
%e A225252 ..4.12.25..43..67..95.130.169.215.267..324..385..454..527..606..692..784..880
%e A225252 ..5.16.34..59..92.131.179.233.296.367..445..529..623..723..831..948.1073.1204
%e A225252 ..6.20.43..75.117.167.228.297.377.467..566..673..792..919.1056.1204.1362.1528
%e A225252 ..7.24.52..91.142.203.277.361.458.567..687..817..961.1115.1281.1460.1651.1852
%e A225252 ..8.28.61.107.167.239.326.425.539.667..808..961.1130.1311.1506.1716.1940.2176
%e A225252 ..9.32.70.123.192.275.375.489.620.767..929.1105.1299.1507.1731.1972.2229.2500
%e A225252 .10.36.79.139.217.311.424.553.701.867.1050.1249.1468.1703.1956.2228.2518.2824
%e A225252 .11.40.88.155.242.347.473.617.782.967.1171.1393.1637.1899.2181.2484.2807.3148
%Y A225252 Row 1 is A027384.
%Y A225252 Cf. A225255.
%K A225252 nonn,tabl
%O A225252 1,1
%A A225252 _R. H. Hardin_, May 04 2013