A205194 Number of (n+1)X2 0..3 arrays with rows and columns of permanents of all 2X2 subblocks lexicographically nondecreasing, and all 2X2 permanents nonzero

207, 1720, 13366, 83720, 496848, 2629706, 13334897, 63159947, 289222067, 1267265078, 5406867620, 22378349496, 90688749158, 359505989852, 1401334119845, 5372027062571, 20315383781149, 75832042663346

Offset

1,1

Comments

Column 1 of A205198

Links

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

Formula

Empirical: a(n) = 13*a(n-1) -13*a(n-2) -524*a(n-3) +1959*a(n-4) +8608*a(n-5) -55184*a(n-6) -59171*a(n-7) +853539*a(n-8) -238006*a(n-9) -8726805*a(n-10) +9719469*a(n-11) +63484144*a(n-12) -114216050*a(n-13) -338695574*a(n-14) +856174719*a(n-15) +1322556453*a(n-16) -4683896798*a(n-17) -3573610846*a(n-18) +19701738548*a(n-19) +5019624727*a(n-20) -65358107883*a(n-21) +7513917414*a(n-22) +173162552987*a(n-23) -71108674483*a(n-24) -367959382578*a(n-25) +246817747083*a(n-26) +625140423421*a(n-27) -579135984006*a(n-28) -838984603120*a(n-29) +1019488216590*a(n-30) +865729693841*a(n-31) -1391392378912*a(n-32) -645138967435*a(n-33) +1485262022397*a(n-34) +283817892022*a(n-35) -1234876808272*a(n-36) +19579444565*a(n-37) +787889140698*a(n-38) -144826793216*a(n-39) -375320128236*a(n-40) +124579079852*a(n-41) +127285128240*a(n-42) -61269085328*a(n-43) -28074083232*a(n-44) +18994673840*a(n-45) +3184340256*a(n-46) -3582579840*a(n-47) +20663360*a(n-48) +359876672*a(n-49) -40809216*a(n-50) -13348608*a(n-51) +2257920*a(n-52)

Example

Some solutions for n=4
..1..0....0..3....2..0....1..1....2..3....1..3....1..3....0..2....0..3....0..2
..0..1....1..1....1..1....3..3....3..0....2..0....2..1....1..0....3..0....1..0
..1..1....1..2....0..2....3..1....1..3....3..3....1..3....2..2....1..3....3..2
..2..1....3..3....1..0....3..3....3..2....0..2....2..3....3..1....2..3....2..1
..0..2....3..2....1..2....3..3....3..2....3..2....3..0....1..3....1..3....2..3

Crossrefs

Sequence in context: A204869 A217297 A205198 * A204868 A223650 A232346

Adjacent sequences: A205191 A205192 A205193 * A205195 A205196 A205197

Keyword

nonn

Author

R. H. Hardin Jan 23 2012

Status

approved