A305689 Number of nX5 0..1 arrays with every element unequal to 1, 2, 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero.

3, 383, 8415, 236246, 6433903, 175572754, 4791219558, 130750175963, 3568076221953, 97370309875185, 2657167978118536, 72512261986547460, 1978809088409099730, 54000320827193482794, 1473631117958521017183

Offset

1,1

Comments

Column 5 of A305692.

Links

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

Formula

Empirical: a(n) = 19*a(n-1) +179*a(n-2) +1136*a(n-3) +4097*a(n-4) +3102*a(n-5) -33005*a(n-6) -187763*a(n-7) -412009*a(n-8) +467220*a(n-9) +2017066*a(n-10) -2790079*a(n-11) -3903913*a(n-12) +5221691*a(n-13) -1643719*a(n-14) +26621304*a(n-15) -28447185*a(n-16) -33617379*a(n-17) +99405926*a(n-18) -229610260*a(n-19) +347692125*a(n-20) -282918862*a(n-21) -38536441*a(n-22) +689738239*a(n-23) -1066766834*a(n-24) +628136365*a(n-25) +108357087*a(n-26) -326251507*a(n-27) +83751508*a(n-28) -12578278*a(n-29) -118171201*a(n-30) +483570435*a(n-31) -512507279*a(n-32) +412495936*a(n-33) -449297169*a(n-34) +329621782*a(n-35) -65599507*a(n-36) -70170292*a(n-37) +103328385*a(n-38) -54821789*a(n-39) -23290315*a(n-40) +23929905*a(n-41) +10471389*a(n-42) -17282194*a(n-43) +8903187*a(n-44) -2744424*a(n-45) +185861*a(n-46) +79617*a(n-47) +8104*a(n-48) +17718*a(n-49) -13754*a(n-50) +3980*a(n-51) -432*a(n-52)

Example

Some solutions for n=5
..0..0..0..1..0. .0..0..0..1..0. .0..0..0..1..0. .0..0..0..0..0
..0..1..0..1..1. .0..1..0..0..1. .0..1..0..0..0. .1..0..0..1..0
..1..1..1..1..1. .1..1..1..0..1. .1..0..1..0..1. .1..1..0..1..1
..0..1..1..1..0. .0..1..0..0..0. .1..1..1..1..0. .1..0..0..1..0
..0..1..1..0..0. .1..0..1..1..1. .1..0..0..1..0. .1..0..1..0..0

Crossrefs

Cf. A305692.

Sequence in context: A316279 A305958 A317219 * A317069 A316950 A317730

Adjacent sequences: A305686 A305687 A305688 * A305690 A305691 A305692

Keyword

nonn

Author

R. H. Hardin, Jun 08 2018

Status

approved