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URL: https://oeis.org/A200788

⇱ A200788 - OEIS

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A200788
Number of 0..n arrays x(0..5) of 6 elements without any two consecutive increases.
1
64, 622, 3136, 11100, 31395, 75992, 164004, 324087, 597190, 1039654, 1726660, 2756026, 4252353, 6371520, 9305528, 13287693, 18598188, 25569934, 34594840, 46130392, 60706591, 78933240, 101507580, 129222275, 162973746, 203770854
OFFSET
1,1
COMMENTS
Row 4 of A200785.
LINKS
FORMULA
Empirical: a(n) = (349/720)*n^6 + (321/80)*n^5 + (1883/144)*n^4 + (1013/48)*n^3 + (3139/180)*n^2 + (413/60)*n + 1.
Conjectures from Colin Barker, Oct 15 2017: (Start)
G.f.: x*(64 + 174*x + 126*x^2 - 30*x^3 + 21*x^4 - 7*x^5 + x^6) / (1 - x)^7.
a(n) = 7*a(n-1) - 21*a(n-2) + 35*a(n-3) - 35*a(n-4) + 21*a(n-5) - 7*a(n-6) + a(n-7) for n>7.
(End)
EXAMPLE
Some solutions for n=3
..2....3....3....2....3....2....1....1....3....3....1....1....2....3....2....1
..3....2....1....3....0....0....3....0....0....3....3....1....2....3....2....1
..0....3....3....3....0....1....3....0....1....0....3....3....1....0....2....1
..3....3....2....3....3....1....0....2....1....2....0....0....0....2....2....2
..3....1....2....3....0....1....1....1....3....0....2....0....3....2....1....2
..3....3....1....2....0....2....1....2....3....0....2....2....1....2....2....3
CROSSREFS
Sequence in context: A302086 A229401 A232052 * A250355 A045789 A000525
KEYWORD
nonn
AUTHOR
R. H. Hardin, Nov 22 2011
STATUS
approved