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A200250 Number of 0..7 arrays x(0..n-1) of n elements with each no smaller than the sum of its previous elements modulo 8. 1
8, 36, 164, 750, 3434, 15724, 71970, 329455, 1508139, 6903702, 31602661, 144665637, 662227235, 3031438038, 13876832881, 63523149100, 290786125630, 1331114279973, 6093362338144, 27893220846536, 127685131134366, 584496598744029 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 7 of A200251.

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..134

FORMULA

Empirical: a(n) = a(n-1) +9*a(n-2) +24*a(n-3) +36*a(n-4) +35*a(n-5) +21*a(n-6) +7*a(n-7) +a(n-8).

Empirical g.f.: x*(2 + x)*(2 + 2*x + x^2)*(2 + 4*x + 6*x^2 + 4*x^3 + x^4) / (1 - x - 9*x^2 - 24*x^3 - 36*x^4 - 35*x^5 - 21*x^6 - 7*x^7 - x^8). - Colin Barker, May 20 2018

EXAMPLE

Some solutions for n=6:

..3....1....6....3....2....3....2....1....0....6....3....3....0....7....2....1

..6....3....7....7....6....5....6....4....3....6....7....5....2....7....6....4

..7....6....7....7....4....2....3....5....6....7....6....1....7....7....3....5

..5....2....4....1....5....2....6....7....3....6....6....1....5....6....6....6

..5....5....1....3....6....5....1....3....7....2....6....3....6....7....5....2

..7....5....5....6....7....3....5....4....5....7....5....6....7....7....7....7

CROSSREFS

Cf. A200251.

Sequence in context: A228702 A200667 A200468 * A207099 A055064 A014347

Adjacent sequences:  A200247 A200248 A200249 * A200251 A200252 A200253

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 15 2011

STATUS

approved

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Last modified December 5 03:52 EST 2021. Contains 349530 sequences. (Running on oeis4.)