A236496 Number of (n+1)X(2+1) 0..3 arrays colored with the sum of the maximum and minimum values of each 2X2 subblock

2228, 30916, 404844, 5217808, 67922876, 889064156, 11593920636, 150933818096, 1967718157060, 25666289129712, 334603096750484, 4361467934769740, 56861946338785396, 741358063588817148, 9665019767331628236

Offset

1,1

Comments

Column 2 of A236500

Links

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

Formula

Empirical: a(n) = 62*a(n-2) +725*a(n-3) +7415*a(n-4) +25938*a(n-5) -43654*a(n-6) -497122*a(n-7) -870235*a(n-8) +1383538*a(n-9) +6711678*a(n-10) +7323747*a(n-11) -4082728*a(n-12) -31886496*a(n-13) -47300006*a(n-14) -12535262*a(n-15) +22727505*a(n-16) +103868945*a(n-17) +241224605*a(n-18) -129769422*a(n-19) -357137862*a(n-20) +318197576*a(n-21) +757875482*a(n-22) +1291333264*a(n-23) +422581272*a(n-24) -2833137215*a(n-25) -4398569896*a(n-26) -2785178278*a(n-27) +32869089*a(n-28) +2214404517*a(n-29) +1044738288*a(n-30) -2794241155*a(n-31) -5865396108*a(n-32) -5446738798*a(n-33) -2850201776*a(n-34) -687819008*a(n-35) -18405064*a(n-36) -19215173*a(n-37) -16345608*a(n-38) +621997*a(n-39) +1385329*a(n-40) -452750*a(n-41) +65418*a(n-42) -2720*a(n-43) for n>46

Example

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

Crossrefs

Sequence in context: A053395 A178919 A205225 * A208181 A252644 A205046

Adjacent sequences: A236493 A236494 A236495 * A236497 A236498 A236499

Keyword

nonn

Author

R. H. Hardin, Jan 27 2014

Status

approved