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A200371 Number of 0..n arrays x(0..8) of 9 elements with zero 3rd differences 1
2, 3, 4, 5, 6, 7, 8, 11, 14, 21, 28, 35, 42, 49, 60, 75, 90, 105, 120, 139, 162, 185, 208, 233, 262, 295, 328, 365, 402, 447, 492, 541, 590, 639, 692, 757, 822, 887, 952, 1027, 1102, 1185, 1268, 1355, 1450, 1549, 1648, 1751, 1858, 1973, 2092, 2219, 2346, 2473, 2608 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 4 of A200370

LINKS

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

FORMULA

Empirical: a(n) = -a(n-2) -a(n-4) -a(n-6) -a(n-8) +a(n-15) +a(n-16) +a(n-17) +a(n-18) +a(n-19) +a(n-20) +2*a(n-21) +a(n-22) +2*a(n-23) +a(n-24) +a(n-25) +a(n-27) +a(n-28) +a(n-29) +a(n-30) -a(n-31) +a(n-32) -a(n-33) +a(n-34) -a(n-35) -2*a(n-37) -a(n-38) -2*a(n-39) -a(n-40) -a(n-41) -a(n-42) -2*a(n-43) -2*a(n-44) -2*a(n-45) -a(n-46) -a(n-47) -a(n-48) -2*a(n-49) -a(n-50) -2*a(n-51) -a(n-53) +a(n-54) -a(n-55) +a(n-56) -a(n-57) +a(n-58) +a(n-59) +a(n-60) +a(n-61) +a(n-63) +a(n-64) +2*a(n-65) +a(n-66) +2*a(n-67) +a(n-68) +a(n-69) +a(n-70) +a(n-71) +a(n-72) +a(n-73) -a(n-80) -a(n-82) -a(n-84) -a(n-86) -a(n-88)

EXAMPLE

Some solutions for n=10

..1....5....8....3....4....6....9...10....0....8...10....2....6....0....0....9

..1....5....7....3....4....6....9....9....4....8...10....2....3....0....1....8

..1....5....6....3....4....6....9....8....7....8...10....2....1....0....2....7

..1....5....5....3....4....6....9....7....9....8...10....2....0....0....3....6

..1....5....4....3....4....6....9....6...10....8...10....2....0....0....4....5

..1....5....3....3....4....6....9....5...10....8...10....2....1....0....5....4

..1....5....2....3....4....6....9....4....9....8...10....2....3....0....6....3

..1....5....1....3....4....6....9....3....7....8...10....2....6....0....7....2

..1....5....0....3....4....6....9....2....4....8...10....2...10....0....8....1

CROSSREFS

Sequence in context: A258946 A008815 A298434 * A246025 A211699 A118600

Adjacent sequences:  A200368 A200369 A200370 * A200372 A200373 A200374

KEYWORD

nonn

AUTHOR

R. H. Hardin Nov 16 2011

STATUS

approved

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Last modified November 30 20:17 EST 2021. Contains 349425 sequences. (Running on oeis4.)