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

Author

R. H. Hardin, Aug 05 2012

Keywords

• nonn

Comments

Row 5 of A215190.

Examples

			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
		

Links

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

Crossrefs

Cf. A215190.

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