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A236518 Number of (n+1)X(3+1) 0..1 arrays with the difference of the upper median and minimum value of each 2X2 subblock in lexicographically nondecreasing order columnwise and nonincreasing rowwise 1
160, 1256, 9212, 63208, 421516, 2728079, 17385844, 109182283, 680017778, 4204683204, 25887754654, 158825752617, 972360337075, 5942984461200, 36286112478243, 221380047388986, 1349991675561730, 8229448284594565 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 3 of A236523

LINKS

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

FORMULA

Empirical: a(n) = 11*a(n-1) +11*a(n-2) -465*a(n-3) +638*a(n-4) +8060*a(n-5) -17882*a(n-6) -77372*a(n-7) +211977*a(n-8) +461235*a(n-9) -1474191*a(n-10) -1794181*a(n-11) +6692341*a(n-12) +4604566*a(n-13) -20863616*a(n-14) -7541667*a(n-15) +45896390*a(n-16) +6741887*a(n-17) -72298015*a(n-18) -111423*a(n-19) +82132354*a(n-20) -8000958*a(n-21) -67396222*a(n-22) +11016500*a(n-23) +39803962*a(n-24) -8169353*a(n-25) -16752899*a(n-26) +3833242*a(n-27) +4930648*a(n-28) -1177959*a(n-29) -981245*a(n-30) +235179*a(n-31) +124349*a(n-32) -29219*a(n-33) -8931*a(n-34) +2037*a(n-35) +272*a(n-36) -60*a(n-37)

EXAMPLE

Some solutions for n=4

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

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

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

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

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

CROSSREFS

Sequence in context: A234450 A234444 A166778 * A120103 A235655 A281404

Adjacent sequences:  A236515 A236516 A236517 * A236519 A236520 A236521

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 27 2014

STATUS

approved

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Last modified January 27 05:12 EST 2021. Contains 340451 sequences. (Running on oeis4.)