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!)
A262760 Number of (3+2)X(n+2) 0..1 arrays with each row divisible by 5 and each column divisible by 7, read as a binary number with top and left being the most significant bits. 1

%I #4 Sep 30 2015 11:03:20

%S 5,25,49,129,709,4953,16705,73345,384485,2252185,9821425,47556225,

%T 241769125,1278440025,6106506625,30240858625,152043549125,

%U 774590745625,3814859880625,19015880330625,95252710613125,479215784705625

%N Number of (3+2)X(n+2) 0..1 arrays with each row divisible by 5 and each column divisible by 7, read as a binary number with top and left being the most significant bits.

%C Row 3 of A262759.

%H R. H. Hardin, <a href="/A262760/b262760.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-1) +290*a(n-4) -1450*a(n-5) -19200*a(n-8) +96000*a(n-9) +370750*a(n-12) -1853750*a(n-13) -1409375*a(n-16) +7046875*a(n-17)

%e Some solutions for n=4

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

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

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

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

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

%Y Cf. A262759.

%K nonn

%O 1,1

%A _R. H. Hardin_, Sep 30 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 March 29 02:23 EDT 2024. Contains 371264 sequences. (Running on oeis4.)