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!)
A297951 T(n,k)=Number of nXk 0..1 arrays with every element equal to 1, 2, 3 or 5 king-move adjacent elements, with upper left element zero. 8
0, 1, 1, 1, 4, 1, 2, 18, 18, 2, 3, 52, 56, 52, 3, 5, 174, 219, 219, 174, 5, 8, 604, 796, 948, 796, 604, 8, 13, 2048, 3079, 4258, 4258, 3079, 2048, 13, 21, 6948, 11614, 19561, 23840, 19561, 11614, 6948, 21, 34, 23652, 44076, 88441, 134642, 134642, 88441, 44076 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

..0.....1......1.......2........3.........5..........8..........13...........21

..1.....4.....18......52......174.......604.......2048........6948........23652

..1....18.....56.....219......796......3079......11614.......44076.......167210

..2....52....219.....948.....4258.....19561......88441......402245......1831311

..3...174....796....4258....23840....134642.....750733.....4222383.....23711537

..5...604...3079...19561...134642....938557....6423236....44289957....305715877

..8..2048..11614...88441...750733...6423236...53630550...451993176...3822668362

.13..6948..44076..402245..4222383..44289957..451993176..4667940027..48407285130

.21.23652.167210.1831311.23711537.305715877.3822668362.48407285130.616122541550

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..180

FORMULA

Empirical for column k:

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

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

k=3: [order 20] for n>21

k=4: [order 66] for n>69

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 1 is A000045(n-1).

Sequence in context: A299228 A300040 A206359 * A298560 A298389 A299307

Adjacent sequences:  A297948 A297949 A297950 * A297952 A297953 A297954

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 09 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 January 25 23:56 EST 2022. Contains 350572 sequences. (Running on oeis4.)