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

1,1

Comments

Row 4 of A214595

Links

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

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)

Example

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

Crossrefs

Sequence in context: A249178 A281650 A324403 * A283661 A067827 A070269

Adjacent sequences: A214594 A214595 A214596 * A214598 A214599 A214600

Keyword

nonn

Author

R. H. Hardin Jul 22 2012

Status

approved