This site is supported by donations to The OEIS Foundation.

 Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing. Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A258732 Number of length n+2 0..3 arrays with at most one downstep in every n consecutive neighbor pairs. 1
 64, 225, 608, 1408, 2936, 5664, 10280, 17754, 29416, 47047, 72984, 110240, 162640, 234974, 333168, 464474, 637680, 863341, 1154032, 1524624, 1992584, 2578300, 3305432, 4201290, 5297240, 6629139, 8237800, 10169488, 12476448, 15217466 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Row 2 of A258730. LINKS R. H. Hardin, Table of n, a(n) for n = 1..210 FORMULA Empirical: a(n) = (1/5040)*n^7 + (1/120)*n^6 + (53/360)*n^5 + (5/4)*n^4 + (5167/720)*n^3 + (2489/120)*n^2 + (2591/105)*n + 10. Empirical g.f.: x*(64 - 287*x + 600*x^2 - 740*x^3 + 576*x^4 - 282*x^5 + 80*x^6 - 10*x^7) / (1 - x)^8. - Colin Barker, Jan 26 2018 EXAMPLE Some solutions for n=4: ..0....2....2....1....1....0....2....1....3....0....2....0....1....1....0....1 ..0....2....2....1....0....0....3....2....0....2....3....0....1....1....2....1 ..1....3....2....2....1....3....1....3....1....2....3....3....3....2....2....3 ..2....3....2....3....1....0....1....1....1....1....0....2....0....2....3....0 ..1....3....3....0....1....1....2....1....2....2....1....3....0....0....3....1 ..3....0....0....0....0....2....3....1....2....3....3....3....0....0....0....3 CROSSREFS Cf. A258730. Sequence in context: A295021 A194932 A016994 * A279714 A228802 A222547 Adjacent sequences:  A258729 A258730 A258731 * A258733 A258734 A258735 KEYWORD nonn AUTHOR R. H. Hardin, Jun 08 2015 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 13 06:26 EST 2019. Contains 329968 sequences. (Running on oeis4.)