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!)
A298635 T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3, 6 or 7 king-move adjacent elements, with upper left element zero. 6
1, 1, 1, 1, 5, 1, 1, 6, 6, 1, 1, 17, 2, 17, 1, 1, 24, 5, 5, 24, 1, 1, 53, 7, 15, 7, 53, 1, 1, 94, 14, 25, 25, 14, 94, 1, 1, 173, 21, 45, 34, 45, 21, 173, 1, 1, 340, 41, 81, 61, 61, 81, 41, 340, 1, 1, 601, 70, 186, 107, 163, 107, 186, 70, 601, 1, 1, 1178, 129, 382, 234, 246, 246, 234 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

.1...1..1...1...1....1....1....1....1.....1.....1.....1......1......1.......1

.1...5..6..17..24...53...94..173..340...601..1178..2137...4056...7565...14086

.1...6..2...5...7...14...21...41...70...129...233...428....783...1445....2664

.1..17..5..15..25...45...81..186..382...832..1778..3817...8229..17739...38337

.1..24..7..25..34...61..107..234..433...961..2031..4286...9049..19572...42207

.1..53.14..45..61..163..246..566.1334..2879..6223.14320..33446..76557..175161

.1..94.21..81.107..246..462..991.1953..4272..9838.22598..52716.122648..291782

.1.173.41.186.234..566..991.2134.4366..9639.22287.50362.114429.263499..617118

.1.340.70.382.433.1334.1953.4366.7520.18205.39703.92437.205166.484401.1134968

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..419

FORMULA

Empirical for column k:

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

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

k=3: [order 11] for n>13

k=4: [order 23] for n>29

k=5: [order 58] for n>64

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

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

CROSSREFS

Column 2 is A297980.

Column 3 is A297981.

Sequence in context: A173119 A050178 A297986 * A171146 A174038 A328098

Adjacent sequences:  A298632 A298633 A298634 * A298636 A298637 A298638

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 23 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 8 20:37 EST 2021. Contains 349596 sequences. (Running on oeis4.)