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

160, 1256, 9212, 63208, 421516, 2728079, 17385844, 109182283, 680017778, 4204683204, 25887754654, 158825752617, 972360337075, 5942984461200, 36286112478243, 221380047388986, 1349991675561730, 8229448284594565

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