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A297804 Number of 4Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2, 3 or 5 neighboring 1s. 1

%I #4 Jan 06 2018 09:34:18

%S 1,7,108,422,2195,16006,115773,738989,4837309,32657747,219582492,

%T 1461795891,9752902800,65247730522,436241303976,2914287342877,

%U 19473374657852,130152068036883,869816886352210,5812664008298957

%N Number of 4Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2, 3 or 5 neighboring 1s.

%C Row 4 of A297802.

%H R. H. Hardin, <a href="/A297804/b297804.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) +2*a(n-2) +19*a(n-3) +170*a(n-4) -1100*a(n-5) -1037*a(n-6) +1524*a(n-7) -7143*a(n-8) +44464*a(n-9) +70155*a(n-10) -178747*a(n-11) -49015*a(n-12) -56143*a(n-13) -605420*a(n-14) +1629247*a(n-15) +789405*a(n-16) -3542455*a(n-17) +1821929*a(n-18) +697014*a(n-19) +1736175*a(n-20) +6611206*a(n-21) -24159699*a(n-22) -6040442*a(n-23) +22645180*a(n-24) -8302835*a(n-25) +45128805*a(n-26) +8483674*a(n-27) -57414625*a(n-28) +51319534*a(n-29) -50987530*a(n-30) -122886914*a(n-31) +26911552*a(n-32) -56579692*a(n-33) -32032745*a(n-34) +210015730*a(n-35) +108215538*a(n-36) +41225268*a(n-37) +191116457*a(n-38) -78974*a(n-39) -97822681*a(n-40) -9791615*a(n-41) -104614992*a(n-42) -103358060*a(n-43) -20219044*a(n-44) -28055103*a(n-45) -51562*a(n-46) +5393515*a(n-47) +7808415*a(n-48) +1717135*a(n-49) -1385069*a(n-50) +1569214*a(n-51) -1224958*a(n-52) +22674*a(n-53) -36312*a(n-54) +21984*a(n-55)

%e Some solutions for n=7

%e ..1..1..1..0..0..1..1. .0..1..0..1..1..1..0. .0..0..1..1..0..1..1

%e ..0..1..0..1..0..1..1. .1..0..1..0..0..1..1. .1..1..0..0..1..1..0

%e ..1..1..0..1..1..1..0. .1..1..1..0..0..1..1. .1..1..0..1..0..1..1

%e ..1..1..0..1..1..0..0. .1..1..0..0..0..1..1. .1..1..0..0..1..0..0

%Y Cf. A297802.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 06 2018

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Last modified March 28 09:04 EDT 2024. Contains 371240 sequences. (Running on oeis4.)