The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Please make a donation to keep the OEIS running. We are now in our 56th year. In the past year we added 10000 new sequences and reached almost 9000 citations (which often say "discovered thanks to the OEIS"). Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

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