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

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

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

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

Adjacent sequences: A225264 A225265 A225266 * A225268 A225269 A225270

Keyword

nonn,tabl

Author

R. H. Hardin May 04 2013

Status

approved