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A200156 Number of 0..n arrays x(0..4) of 5 elements with zero 4th difference. 1
2, 15, 40, 103, 202, 381, 636, 1033, 1550, 2287, 3212, 4451, 5946, 7869, 10140, 12969, 16238, 20211, 24744, 30147, 36222, 43349, 51296, 60493, 70646, 82267, 95016, 109467, 125206, 142897, 162076, 183477, 206546, 232123, 259596, 289879, 322262 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 5 of A200154.

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..200

FORMULA

Empirical: a(n) = a(n-1) +a(n-2) +a(n-4) -3*a(n-5) -a(n-6) +a(n-8) +3*a(n-9) -a(n-10) -a(n-12) -a(n-13) +a(n-14).

Empirical g.f.: x*(2 + 13*x + 23*x^2 + 48*x^3 + 57*x^4 + 67*x^5 + 60*x^6 + 48*x^7 + 26*x^8 + 11*x^9 + x^10 - x^12 + x^13) / ((1 - x)^5*(1 + x)^3*(1 + x^2)^2*(1 + x + x^2)). - Colin Barker, May 17 2018

EXAMPLE

Some solutions for n=6:

..6....4....1....0....2....6....2....2....4....6....6....0....6....6....2....4

..4....5....1....6....0....1....2....3....6....2....5....6....6....5....3....4

..1....3....1....6....2....0....0....2....3....0....2....6....4....4....2....5

..0....1....2....4....4....2....0....1....0....0....1....3....3....4....2....5

..4....2....5....4....2....6....6....2....2....2....6....0....6....6....6....2

CROSSREFS

Cf. A200154.

Sequence in context: A070009 A070170 A033568 * A249997 A032016 A254856

Adjacent sequences:  A200153 A200154 A200155 * A200157 A200158 A200159

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 13 2011

STATUS

approved

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Last modified May 13 15:38 EDT 2021. Contains 343860 sequences. (Running on oeis4.)