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

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A263300 Number of (n+3)X(2+3) 0..1 arrays with each row divisible by 13 and column not divisible by 13, read as a binary number with top and left being the most significant bits. 1
42, 156, 522, 1604, 4866, 14776, 45046, 136248, 408744, 1235360, 3719846, 11182556, 33561550, 100772348, 302469454, 907514652, 2722696390, 8168583528, 24507705554, 73526125728, 220578377184, 661760369600, 1985318969554 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 2 of A263303.

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210

FORMULA

Empirical: a(n) = 3*a(n-1) -a(n-2) +3*a(n-3) -a(n-4) +3*a(n-5) -a(n-6) +3*a(n-7) -a(n-8) +3*a(n-9) -a(n-10) +3*a(n-11) +2811*a(n-12) -8433*a(n-13) +2811*a(n-14) -8433*a(n-15) +2811*a(n-16) -8433*a(n-17) +2811*a(n-18) -8433*a(n-19) +2811*a(n-20) -8433*a(n-21) +2811*a(n-22) -8433*a(n-23) -219911*a(n-24) +659733*a(n-25) -219911*a(n-26) +659733*a(n-27) -219911*a(n-28) +659733*a(n-29) -219911*a(n-30) +659733*a(n-31) -219911*a(n-32) +659733*a(n-33) -219911*a(n-34) +659733*a(n-35) +3908061*a(n-36) -11724183*a(n-37) +3908061*a(n-38) -11724183*a(n-39) +3908061*a(n-40) -11724183*a(n-41) +3908061*a(n-42) -11724183*a(n-43) +3908061*a(n-44) -11724183*a(n-45) +3908061*a(n-46) -11724183*a(n-47)

EXAMPLE

Some solutions for n=4

..0..0..0..0..0....1..1..0..1..0....1..1..0..1..0....0..0..0..0..0

..1..1..0..1..0....1..1..0..1..0....0..0..0..0..0....1..1..0..1..0

..0..0..0..0..0....1..1..0..1..0....1..1..0..1..0....1..1..0..1..0

..1..1..0..1..0....1..1..0..1..0....0..0..0..0..0....0..0..0..0..0

..0..1..1..0..1....1..1..0..1..0....0..0..0..0..0....0..0..0..0..0

..1..1..0..1..0....0..1..1..0..1....0..0..0..0..0....1..1..0..1..0

..1..1..0..1..0....0..0..0..0..0....0..1..1..0..1....0..1..1..0..1

CROSSREFS

Cf. A263303.

Sequence in context: A193571 A326384 A263285 * A299889 A092228 A159226

Adjacent sequences:  A263297 A263298 A263299 * A263301 A263302 A263303

KEYWORD

nonn

AUTHOR

R. H. Hardin, Oct 13 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.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 7 22:22 EST 2021. Contains 349589 sequences. (Running on oeis4.)