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

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A255998 Number of length n+7 0..1 arrays with at most one downstep in every n consecutive neighbor pairs. 1

%I #7 Jan 26 2018 06:14:54

%S 256,512,667,796,945,1134,1352,1584,1831,2094,2374,2672,2989,3326,

%T 3684,4064,4467,4894,5346,5824,6329,6862,7424,8016,8639,9294,9982,

%U 10704,11461,12254,13084,13952,14859,15806,16794,17824,18897,20014,21176,22384,23639

%N Number of length n+7 0..1 arrays with at most one downstep in every n consecutive neighbor pairs.

%C Row 7 of A255992.

%H R. H. Hardin, <a href="/A255998/b255998.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = (1/6)*n^3 + (7/2)*n^2 + (454/3)*n + 64 for n>5.

%F Empirical g.f.: x*(256 - 512*x + 155*x^2 + 176*x^3 - 29*x^4 - 26*x^5 - 31*x^6 - 4*x^7 + 16*x^8) / (1 - x)^4. - _Colin Barker_, Jan 26 2018

%e Some solutions for n=4:

%e ..1....1....0....0....0....0....0....1....0....0....1....0....0....0....0....1

%e ..0....1....0....1....0....0....0....0....0....0....0....0....1....1....0....1

%e ..1....1....0....1....0....0....0....1....0....0....1....1....1....1....1....0

%e ..1....0....0....0....0....1....0....1....0....0....1....0....1....0....1....0

%e ..1....1....0....0....1....1....1....1....0....0....1....0....1....0....0....0

%e ..0....1....0....0....0....0....1....1....1....0....1....0....1....0....1....0

%e ..0....1....0....0....0....0....1....0....1....0....0....1....0....0....1....1

%e ..0....0....1....0....1....0....1....0....1....0....1....1....0....1....1....1

%e ..0....0....0....0....1....0....1....1....1....0....1....0....0....0....0....1

%e ..1....0....1....0....1....0....1....1....1....1....1....0....0....0....1....1

%e ..0....1....1....0....1....0....0....0....1....1....1....1....0....1....1....0

%Y Cf. A255992.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 13 2015

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.

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 24 03:36 EDT 2024. Contains 373661 sequences. (Running on oeis4.)