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A190037 Number of nondecreasing arrangements of n+2 numbers in 0..5 with the last equal to 5 and each after the second equal to the sum of one or two of the preceding three. 1
8, 12, 16, 23, 33, 45, 57, 69, 81, 93, 105, 117, 129, 141, 153, 165, 177, 189, 201, 213, 225, 237, 249, 261, 273, 285, 297, 309, 321, 333, 345, 357, 369, 381, 393, 405, 417, 429, 441, 453, 465, 477, 489, 501, 513, 525, 537, 549, 561, 573, 585, 597, 609, 621, 633, 645 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 5 of A190041.

LINKS

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

FORMULA

Empirical: a(n) = 12*n - 27 for n>4.

Empirical: G.f.: x*(8 - 4*x + 3*x^3 + 3*x^4 + 2*x^5) / (1 - x)^2. a(n) = 2*a(n-1) - a(n-2) for n>2. - Colin Barker, May 04 2018

EXAMPLE

All solutions for n=3:

..5....1....2....1....1....4....1....0....1....1....1....2....3....2....1....1

..5....5....3....2....2....5....2....5....4....3....2....3....5....5....1....4

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

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

..5....5....5....5....5....5....5....5....5....5....5....5....5....5....5....5

CROSSREFS

Cf. A190041.

Sequence in context: A078609 A084809 A186407 * A110558 A298703 A273800

Adjacent sequences:  A190034 A190035 A190036 * A190038 A190039 A190040

KEYWORD

nonn

AUTHOR

R. H. Hardin, May 04 2011

STATUS

approved

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Last modified October 27 07:47 EDT 2021. Contains 348272 sequences. (Running on oeis4.)