A298490 Number of n X 4 0..1 arrays with every element equal to 0, 1, 2, 4 or 7 king-move adjacent elements, with upper left element zero.

8, 29, 27, 41, 101, 158, 263, 481, 776, 1387, 2567, 4539, 8077, 14329, 25589, 46648, 84839, 153497, 278093, 503244, 917222, 1678100, 3060188, 5584638, 10197411, 18619047, 34091728, 62438325, 114225230, 209134304, 382969204, 701383579

Offset

1,1

Comments

Column 4 of A298494.

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +a(n-2) +6*a(n-3) -14*a(n-4) -8*a(n-5) -12*a(n-6) +16*a(n-7) +24*a(n-8) +27*a(n-9) +102*a(n-10) +13*a(n-11) -99*a(n-12) -390*a(n-13) -297*a(n-14) +126*a(n-15) +559*a(n-16) +781*a(n-17) +129*a(n-18) -240*a(n-19) -723*a(n-20) -356*a(n-21) -201*a(n-22) -117*a(n-23) +59*a(n-24) -69*a(n-25) +401*a(n-26) +250*a(n-27) +595*a(n-28) +310*a(n-29) +46*a(n-30) -311*a(n-31) -636*a(n-32) -423*a(n-33) -181*a(n-34) +315*a(n-35) +344*a(n-36) +144*a(n-37) -84*a(n-38) -96*a(n-39) -12*a(n-40) +20*a(n-41) for n>43.

Example

Some solutions for n=9
..0..0..1..0. .0..0..1..0. .0..0..1..1. .0..0..1..0. .0..0..1..1
..1..1..0..1. .1..1..0..1. .1..1..0..0. .1..1..0..0. .1..0..1..0
..1..0..1..0. .0..0..0..1. .0..1..1..1. .1..0..1..1. .0..1..0..1
..1..1..1..0. .1..0..1..0. .0..1..0..0. .0..0..0..0. .1..0..1..0
..1..1..1..0. .1..0..1..0. .0..1..1..1. .1..1..0..1. .0..1..0..1
..1..0..1..0. .1..0..1..0. .1..0..1..0. .0..0..1..1. .1..0..1..0
..0..0..1..1. .0..1..1..1. .1..0..1..0. .0..1..0..0. .0..1..0..1
..0..0..1..1. .0..1..0..0. .0..0..0..1. .0..0..0..1. .1..0..1..0
..1..0..1..0. .1..0..1..1. .1..1..0..1. .1..1..1..0. .0..1..0..1

Crossrefs

Cf. A298494.

Sequence in context: A361585 A297885 A298290 * A299183 A155578 A115107

Adjacent sequences: A298487 A298488 A298489 * A298491 A298492 A298493

Keyword

nonn

Author

R. H. Hardin, Jan 20 2018

Status

approved