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A225267
T(n,k)=Number of distinct values of the sum of a*b+a*c+b*c over n sets of three a,b,c 0..k integers
6
3, 8, 6, 16, 20, 9, 25, 44, 32, 12, 40, 78, 71, 44, 15, 59, 123, 126, 98, 56, 18, 79, 178, 198, 174, 125, 68, 21, 104, 244, 286, 273, 222, 152, 80, 24, 133, 322, 391, 394, 348, 270, 179, 92, 27, 166, 411, 514, 538, 502, 423, 318, 206, 104, 30, 205, 510, 654, 706, 685, 610
OFFSET
1,1
COMMENTS
Table starts
..3...8..16..25..40...59...79..104..133..166..205..244..290..339..392..448..516
..6..20..44..78.123..178..244..322..411..510..622..743..876.1022.1178.1345.1525
..9..32..71.126.198..286..391..514..654..810..985.1175.1383.1610.1853.2113.2392
.12..44..98.174.273..394..538..706..897.1110.1348.1607.1890.2198.2528.2881.3259
.15..56.125.222.348..502..685..898.1140.1410.1711.2039.2397.2786.3203.3649.4126
.18..68.152.270.423..610..832.1090.1383.1710.2074.2471.2904.3374.3878.4417.4993
.21..80.179.318.498..718..979.1282.1626.2010.2437.2903.3411.3962.4553.5185.5860
.24..92.206.366.573..826.1126.1474.1869.2310.2800.3335.3918.4550.5228.5953.6727
.27.104.233.414.648..934.1273.1666.2112.2610.3163.3767.4425.5138.5903.6721.7594
.30.116.260.462.723.1042.1420.1858.2355.2910.3526.4199.4932.5726.6578.7489.8461
LINKS
FORMULA
Empirical: column k is 3*n*k^2 - A225270(k) for large n (n>1 suffices through at least k=626)
CROSSREFS
Sequence in context: A276584 A098737 A164654 * A320541 A366612 A072396
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin May 04 2013
STATUS
approved