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A298494 T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 4 or 7 king-move adjacent elements, with upper left element zero. 7
1, 2, 2, 4, 7, 4, 8, 13, 13, 8, 16, 29, 20, 29, 16, 32, 69, 27, 27, 69, 32, 64, 137, 43, 41, 43, 137, 64, 128, 301, 70, 101, 101, 70, 301, 128, 256, 705, 106, 158, 178, 158, 106, 705, 256, 512, 1461, 169, 263, 253, 253, 263, 169, 1461, 512, 1024, 3193, 276, 481, 423, 388 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

...1....2...4...8...16...32...64..128..256..512.1024..2048..4096..8192..16384

...2....7..13..29...69..137..301..705.1461.3193.7373.15729.34405.78569.170813

...4...13..20..27...43...70..106..169..276..444..720..1183..1947..3207...5311

...8...29..27..41..101..158..263..481..776.1387.2567..4539..8077.14329..25589

..16...69..43.101..178..253..423..715.1082.1821.3203..5330..8978.15692..26461

..32..137..70.158..253..388..434..830.1351.1892.3026..5492..8206.13206..23026

..64..301.106.263..423..434..628.1067.1267.1943.2973..4583..6623.10201..15735

.128..705.169.481..715..830.1067.1708.2118.2978.4984..7136.10725.17602..27551

.256.1461.276.776.1082.1351.1267.2118.2860.3333.5106..7796.10253.15979..24788

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..1010

FORMULA

Empirical for column k:

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

k=2: a(n) = 3*a(n-1) -2*a(n-2) +8*a(n-3) -20*a(n-4) +8*a(n-5) for n>6

k=3: [order 11] for n>12

k=4: [order 41] for n>43

EXAMPLE

Some solutions for n=9 k=4

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

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

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

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

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

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

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

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

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

CROSSREFS

Column 1 is A000079(n-1).

Column 2 is A297883.

Sequence in context: A297889 A298294 A299388 * A299187 A299948 A298221

Adjacent sequences:  A298491 A298492 A298493 * A298495 A298496 A298497

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 20 2018

STATUS

approved

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Last modified October 22 18:59 EDT 2020. Contains 337953 sequences. (Running on oeis4.)