A214597 Number of 4X4X4 triangular 0..n arrays with every horizontal row having the same average value.

2, 401, 1862, 10177, 33352, 103651, 250042, 589763, 1199614, 2377843, 4299560, 7631589, 12644114, 20709813, 32235854, 49618485, 73512984, 107991735, 153683050, 217344807, 299596702, 410511063, 550861288, 735611705, 964611698

Offset: 1

Author

R. H. Hardin, Jul 22 2012

Keywords

• nonn
• changed

Examples

			Some solutions for n=4
.....2........2........2........2........2........2........1........2
....3.1......2.2......1.3......2.2......4.0......1.3......2.0......4.0
...2.2.2....1.2.3....3.2.1....0.2.4....1.1.4....4.2.0....0.3.0....4.2.0
..2.3.3.0..3.3.2.0..3.3.1.1..3.0.4.1..2.3.2.1..0.4.0.4..1.0.3.0..3.4.0.1
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..210

Crossrefs

Row 4 of A214595.

Formula

Empirical: a(n) = -3*a(n-1) -4*a(n-2) +a(n-3) +15*a(n-4) +28*a(n-5) +22*a(n-6) -18*a(n-7) -74*a(n-8) -96*a(n-9) -42*a(n-10) +78*a(n-11) +177*a(n-12) +165*a(n-13) +24*a(n-14) -155*a(n-15) -234*a(n-16) -155*a(n-17) +24*a(n-18) +165*a(n-19) +177*a(n-20) +78*a(n-21) -42*a(n-22) -96*a(n-23) -74*a(n-24) -18*a(n-25) +22*a(n-26) +28*a(n-27) +15*a(n-28) +a(n-29) -4*a(n-30) -3*a(n-31) -a(n-32)