The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A241965 Number of length 2+3 0..n arrays with no consecutive four elements summing to more than 2*n. 1
 19, 124, 486, 1421, 3437, 7280, 13980, 24897, 41767, 66748, 102466, 152061, 219233, 308288, 424184, 572577, 759867, 993244, 1280734, 1631245, 2054613, 2561648, 3164180, 3875105, 4708431, 5679324, 6804154, 8100541, 9587401, 11284992 (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) = (23/60)*n^5 + (9/4)*n^4 + (21/4)*n^3 + (25/4)*n^2 + (58/15)*n + 1. Conjectures from Colin Barker, Oct 31 2018: (Start) G.f.: x*(19 + 10*x + 27*x^2 - 15*x^3 + 6*x^4 - x^5) / (1 - x)^6. a(n) = 6*a(n-1) - 15*a(n-2) + 20*a(n-3) - 15*a(n-4) + 6*a(n-5) - a(n-6) for n>6. (End) EXAMPLE Some solutions for n=4: ..2....1....1....1....1....0....0....3....0....1....4....2....4....2....1....4 ..0....2....0....2....1....4....0....3....0....0....3....1....0....0....0....4 ..2....1....0....3....0....2....2....0....4....3....0....1....2....1....0....0 ..1....0....2....1....2....2....2....1....3....2....0....4....0....4....2....0 ..1....1....2....2....4....0....4....3....1....0....0....2....0....2....0....3 CROSSREFS Row 2 of A241964. Sequence in context: A070302 A125329 A126487 * A182193 A109669 A164905 Adjacent sequences:  A241962 A241963 A241964 * A241966 A241967 A241968 KEYWORD nonn AUTHOR R. H. Hardin, May 03 2014 STATUS approved

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

Last modified May 25 16:14 EDT 2022. Contains 354071 sequences. (Running on oeis4.)