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A232073 Number of (n+1)X(5+1) 0..1 arrays with every element equal to some horizontal, diagonal or antidiagonal neighbor, with top left element zero 1
601, 26587, 1313477, 64298979, 3154769585, 154723539035, 7588839921175, 372212311236497, 18256039956940439, 895410839428587845, 43917552649460225906, 2154040733553483724441, 105650046626276283099403 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 5 of A232076

LINKS

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

FORMULA

Empirical: a(n) = 36*a(n-1) +621*a(n-2) +1905*a(n-3) -39207*a(n-4) -411402*a(n-5) -898125*a(n-6) +9425393*a(n-7) +84749816*a(n-8) +111051068*a(n-9) -879007533*a(n-10) -4910760430*a(n-11) -5538189143*a(n-12) +30036432177*a(n-13) +127210420672*a(n-14) +100515718479*a(n-15) -435334756085*a(n-16) -1303280584822*a(n-17) -335724807381*a(n-18) +2626288625618*a(n-19) +5071408736720*a(n-20) +1385035898258*a(n-21) -4910435900712*a(n-22) -8006645842945*a(n-23) -6555595728604*a(n-24) -8685616697980*a(n-25) +8851048636512*a(n-26) +16243480894674*a(n-27) +16294806863831*a(n-28) +866909283484*a(n-29) -15274511535622*a(n-30) -15229622369906*a(n-31) +1479765422989*a(n-32) +9106580336257*a(n-33) +6260481470057*a(n-34) -4173602288058*a(n-35) -2444349654584*a(n-36) -2452573728389*a(n-37) +2262922603605*a(n-38) -79247649905*a(n-39) +434538965793*a(n-40) -274104583405*a(n-41) -9793704008*a(n-42) +31592467035*a(n-43) -7963078993*a(n-44) +825205473*a(n-45) -9444076*a(n-46) -4479389*a(n-47) +581064*a(n-48) -22036*a(n-49) +72*a(n-50)

EXAMPLE

Some solutions for n=2

..0..1..1..0..0..1....0..0..1..0..0..1....0..0..1..0..0..0....0..1..1..1..0..0

..0..0..1..1..1..0....0..0..1..1..1..0....1..1..1..0..0..0....0..0..1..0..0..1

..1..1..0..0..1..1....1..1..0..1..0..1....0..0..1..0..0..0....1..1..0..0..1..0

CROSSREFS

Sequence in context: A255024 A283923 A302559 * A278206 A094231 A292069

Adjacent sequences:  A232070 A232071 A232072 * A232074 A232075 A232076

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 17 2013

STATUS

approved

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Last modified August 4 19:03 EDT 2021. Contains 346455 sequences. (Running on oeis4.)