A215192 Number of arrays of 5 0..n integers with no sum of consecutive elements equal to a disjoint adjacent sum of an equal number of elements.

0, 30, 216, 954, 2940, 7404, 16092, 31560, 57072, 96990, 156588, 242502, 362496, 525972, 743652, 1028184, 1393740, 1856682, 2435112, 3149598, 4022640, 5079492, 6347544, 7857204, 9641232, 11735682, 14179152, 17013822, 20284620, 24040320

Offset

1,2

Comments

Row 5 of A215190.

Links

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

Formula

Empirical: a(n) = 3*a(n-1) - a(n-2) - 4*a(n-3) + 2*a(n-4) + 2*a(n-5) + 2*a(n-6) - 4*a(n-7) - a(n-8) + 3*a(n-9) - a(n-10).

Empirical g.f.: 6*x^2*(5 + 21*x + 56*x^2 + 69*x^3 + 57*x^4 + 24*x^5 + 8*x^6) / ((1 - x)^6*(1 + x)^2*(1 + x + x^2)). - Colin Barker, Jul 22 2018

Example

Some solutions for n=6:
..5....5....3....4....6....0....6....6....3....2....1....6....2....0....3....2
..6....3....2....1....4....4....1....5....1....6....5....1....1....1....2....6
..4....2....5....3....5....1....0....4....3....4....6....3....3....2....5....5
..1....1....2....0....0....5....2....1....2....3....4....2....2....0....1....2
..2....0....0....5....6....2....1....5....0....2....1....6....5....4....4....1

Crossrefs

Cf. A215190.

Sequence in context: A178672 A061661 A042754 * A244836 A076389 A342896

Adjacent sequences: A215189 A215190 A215191 * A215193 A215194 A215195

Keyword

nonn

Author

R. H. Hardin, Aug 05 2012

Status

approved