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A189323 Number of nondecreasing arrangements of n+2 numbers in 0..6 with the last equal to 6 and each after the second equal to the sum of one or two of the preceding four. 1
10, 18, 36, 64, 110, 179, 275, 393, 528, 676, 836, 1008, 1192, 1388, 1596, 1816, 2048, 2292, 2548, 2816, 3096, 3388, 3692, 4008, 4336, 4676, 5028, 5392, 5768, 6156, 6556, 6968, 7392, 7828, 8276, 8736, 9208, 9692, 10188, 10696, 11216, 11748, 12292, 12848 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 6 of A189326.

LINKS

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

FORMULA

Empirical: a(n) = 6*n^2 + 34*n - 264 for n>8.

Empirical g.f.: x*(10 - 12*x + 12*x^2 + 8*x^4 + 5*x^5 + 4*x^6 - 5*x^7 - 5*x^8 - 4*x^9 - x^10) / (1 - x)^3. - Colin Barker, May 02 2018

EXAMPLE

Some solutions for n=3:

..1....1....2....2....1....3....1....2....2....0....1....1....3....2....1....1

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

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

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

..6....6....6....6....6....6....6....6....6....6....6....6....6....6....6....6

CROSSREFS

Cf. A189326.

Sequence in context: A014006 A090995 A153360 * A064485 A007938 A007937

Adjacent sequences:  A189320 A189321 A189322 * A189324 A189325 A189326

KEYWORD

nonn

AUTHOR

R. H. Hardin, Apr 20 2011

STATUS

approved

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Last modified January 26 08:18 EST 2020. Contains 331278 sequences. (Running on oeis4.)