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!)
A298093 T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 4 or 7 king-move adjacent elements, with upper left element zero. 6
0, 1, 1, 1, 3, 1, 2, 7, 7, 2, 3, 13, 15, 13, 3, 5, 23, 19, 19, 23, 5, 8, 49, 21, 30, 21, 49, 8, 13, 95, 33, 53, 53, 33, 95, 13, 21, 177, 53, 92, 45, 92, 53, 177, 21, 34, 359, 77, 149, 87, 87, 149, 77, 359, 34, 55, 705, 111, 250, 150, 171, 150, 250, 111, 705, 55, 89, 1351, 171, 426 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

..0...1...1...2...3...5...8..13..21...34...55...89..144...233...377...610...987

..1...3...7..13..23..49..95.177.359..705.1351.2689.5303.10321.20423.40353.79223

..1...7..15..19..21..33..53..77.111..171..269..415..643..1013..1605..2543..4041

..2..13..19..30..53..92.149.250.426..809.1456.2602.4606..8096.14731.27112.49118

..3..23..21..53..45..87.150.216.249..423..711..980.1560..2431..3368..5598..8655

..5..49..33..92..87.171.203.328.484..782.1106.1905.2833..4428..7210.11516.17938

..8..95..53.149.150.203.229.365.410..734..917.1484.2077..2943..4659..7326.10594

.13.177..77.250.216.328.365.417.593..783.1086.1490.1929..2529..3490..4795..6787

.21.359.111.426.249.484.410.593.822.1041.1437.2208.3116..4525..6831.10816.16439

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..1055

FORMULA

Empirical for column k:

k=1: a(n) = a(n-1) +a(n-2)

k=2: a(n) = 3*a(n-1) -2*a(n-2) +4*a(n-3) -10*a(n-4) +4*a(n-5) for n>6

k=3: a(n) = 2*a(n-1) -a(n-4) -a(n-5) -a(n-6) +a(n-7) +a(n-8) for n>9

k=4: [order 35] for n>40

k=5: [order 82] for n>86

EXAMPLE

Some solutions for n=7 k=4

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

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

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

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

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

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

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

CROSSREFS

Column 1 is A000045(n-1).

Column 2 is A297852.

Column 3 is A297853.

Sequence in context: A135338 A084602 A297858 * A298055 A298888 A298660

Adjacent sequences:  A298090 A298091 A298092 * A298094 A298095 A298096

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 12 2018

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 6 09:07 EST 2021. Contains 349563 sequences. (Running on oeis4.)