A302628 Number of 7Xn 0..1 arrays with every element equal to 0, 1, 2 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

64, 2785, 1321, 2533, 8283, 36510, 159831, 722300, 3485735, 16654024, 79885136, 386872388, 1873843591, 9068979279, 43966821053, 213186601077, 1033510880732, 5011462600012, 24302515373489, 117847233235884, 571478166249551

Offset

1,1

Comments

Row 7 of A302623.

Links

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

Formula

Empirical: a(n) = 7*a(n-1) -a(n-2) -42*a(n-3) -75*a(n-4) +36*a(n-5) +1403*a(n-6) +141*a(n-7) -5813*a(n-8) -5125*a(n-9) +6551*a(n-10) +33210*a(n-11) +19187*a(n-12) -63293*a(n-13) -100016*a(n-14) -76885*a(n-15) +205330*a(n-16) +481796*a(n-17) +91438*a(n-18) -651600*a(n-19) -1460831*a(n-20) -146947*a(n-21) +2139712*a(n-22) +2132010*a(n-23) +810165*a(n-24) -2421522*a(n-25) -3137768*a(n-26) -3113539*a(n-27) -1238214*a(n-28) +5056715*a(n-29) +6919052*a(n-30) +5072816*a(n-31) -3088569*a(n-32) -8271823*a(n-33) -7348615*a(n-34) -2897799*a(n-35) +6781465*a(n-36) +7886991*a(n-37) +3627433*a(n-38) -2641831*a(n-39) -5511736*a(n-40) -1247143*a(n-41) +561651*a(n-42) +1124885*a(n-43) +1003176*a(n-44) -239330*a(n-45) -259164*a(n-46) -26944*a(n-47) -22960*a(n-48) +17616*a(n-49) +7200*a(n-50) -2400*a(n-51) for n>62

Example

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

Crossrefs

Cf. A302623.

Sequence in context: A301840 A302068 A281475 * A302420 A303187 A302328

Adjacent sequences: A302625 A302626 A302627 * A302629 A302630 A302631

Keyword

nonn

Author

R. H. Hardin, Apr 10 2018

Status

approved