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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. 1
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified May 20 16:05 EDT 2022. Contains 353874 sequences. (Running on oeis4.)