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A268262 Number of length-(3+1) 0..n arrays with new repeated values introduced in sequential order starting with zero. 1
9, 42, 143, 378, 837, 1634, 2907, 4818, 7553, 11322, 16359, 22922, 31293, 41778, 54707, 70434, 89337, 111818, 138303, 169242, 205109, 246402, 293643, 347378, 408177, 476634, 553367, 639018, 734253, 839762, 956259, 1084482, 1225193 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210

FORMULA

Empirical: a(n) = n^4 + n^3 + 3*n^2 + 2*n + 2.

Conjectures from Colin Barker, Jan 13 2019: (Start)

G.f.: x*(9 - 3*x + 23*x^2 - 7*x^3 + 2*x^4) / (1 - x)^5.

a(n) = 5*a(n-1) - 10*a(n-2) + 10*a(n-3) - 5*a(n-4) + a(n-5) for n>5.

(End)

EXAMPLE

Some solutions for n=8:

..0....2....4....3....2....2....5....1....7....2....4....8....4....2....4....7

..2....4....0....6....4....1....0....6....0....8....1....3....2....4....1....6

..8....6....0....8....0....5....0....4....3....0....6....7....7....0....3....2

..5....7....2....4....3....1....4....5....1....1....8....0....4....4....8....7

CROSSREFS

Row 3 of A268261.

Sequence in context: A292481 A051923 A180670 * A293101 A084899 A268622

Adjacent sequences:  A268259 A268260 A268261 * A268263 A268264 A268265

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 29 2016

STATUS

approved

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Last modified September 29 22:48 EDT 2022. Contains 357092 sequences. (Running on oeis4.)