A305950 Number of nX4 0..1 arrays with every element unequal to 0, 2, 3, 4, 5 or 7 king-move adjacent elements, with upper left element zero.

1, 24, 107, 959, 8433, 76951, 705763, 6501334, 59966772, 553530259, 5110834507, 47195589996, 435849686772, 4025162271602, 37173665139688, 343312585950465, 3170626942658318, 29282022185584639, 270431457386379172

Offset

1,2

Comments

Column 4 of A305954.

Links

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

Formula

Empirical: a(n) = 9*a(n-1) +24*a(n-2) -128*a(n-3) -849*a(n-4) +581*a(n-5) +8374*a(n-6) +10529*a(n-7) -26118*a(n-8) -84366*a(n-9) -54629*a(n-10) +86940*a(n-11) +246557*a(n-12) +418712*a(n-13) +644186*a(n-14) +65691*a(n-15) -1779771*a(n-16) -3241800*a(n-17) -1482989*a(n-18) +2103188*a(n-19) +3932849*a(n-20) +3239092*a(n-21) +647499*a(n-22) -3752058*a(n-23) -8820277*a(n-24) -7315312*a(n-25) -419206*a(n-26) +7790434*a(n-27) +12367865*a(n-28) +9456422*a(n-29) +1790181*a(n-30) -8909586*a(n-31) -2864355*a(n-32) +4100560*a(n-33) +5199267*a(n-34) -1625201*a(n-35) -2490563*a(n-36) +1007690*a(n-37) +280255*a(n-38) -775753*a(n-39) -608875*a(n-40) +700187*a(n-41) +458122*a(n-42) -199679*a(n-43) -166164*a(n-44) -17498*a(n-45) +30740*a(n-46) +2072*a(n-47) -1296*a(n-48) +768*a(n-49) for n>51

Example

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

Crossrefs

Cf. A305954.

Sequence in context: A100149 A013980 A100150 * A060334 A271915 A187163

Adjacent sequences: A305947 A305948 A305949 * A305951 A305952 A305953

Keyword

nonn

Author

R. H. Hardin, Jun 15 2018

Status

approved