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A183898 Number of nondecreasing arrangements of n+3 numbers in 0..3 with each number being the sum mod 4 of three others. 1
5, 14, 38, 70, 111, 162, 224, 298, 385, 486, 602, 734, 883, 1050, 1236, 1442, 1669, 1918, 2190, 2486, 2807, 3154, 3528, 3930, 4361, 4822, 5314, 5838, 6395, 6986, 7612, 8274, 8973, 9710, 10486, 11302, 12159, 13058, 14000, 14986, 16017, 17094, 18218, 19390 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A183904.

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..62

FORMULA

Empirical: a(n) = (1/6)*n^3 + (5/2)*n^2 + (25/3)*n - 14 for n>1.

Conjectures from Colin Barker, Apr 05 2018: (Start)

G.f.: x*(5 - 6*x + 12*x^2 - 18*x^3 + 8*x^4) / (1 - x)^4.

a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4) for n>5.

(End)

EXAMPLE

All solutions for n=2:

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

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

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

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

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

CROSSREFS

Cf. A183904.

Sequence in context: A272254 A270452 A270463 * A225865 A319648 A111715

Adjacent sequences:  A183895 A183896 A183897 * A183899 A183900 A183901

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 07 2011

STATUS

approved

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Last modified December 1 21:42 EST 2020. Contains 338858 sequences. (Running on oeis4.)