A251453 Number of (n+1)X(2+1) 0..3 arrays with every 2X2 subblock summing to a prime

856, 12998, 194586, 2922936, 43856564, 658509724, 9883202426, 148386240396, 2227276408442, 33438932548508, 501946241968144, 7535694109005072, 113120767673812066, 1698243768833532142, 25493398752302618694

Offset

1,1

Comments

Column 2 of A251459

Links

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

Formula

Empirical: a(n) = 15*a(n-1) +198*a(n-2) -3198*a(n-3) -7812*a(n-4) +184871*a(n-5) +31578*a(n-6) -4565501*a(n-7) +3558194*a(n-8) +55101117*a(n-9) -72502119*a(n-10) -332701010*a(n-11) +567941512*a(n-12) +935596488*a(n-13) -2005944144*a(n-14) -945330624*a(n-15) +3100461624*a(n-16) -208714144*a(n-17) -1639102944*a(n-18) +397924992*a(n-19) +157598784*a(n-20) -32192640*a(n-21) -3359232*a(n-22)

Example

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

Crossrefs

Sequence in context: A209502 A198527 A234885 * A087002 A256743 A307330

Adjacent sequences: A251450 A251451 A251452 * A251454 A251455 A251456

Keyword

nonn

Author

R. H. Hardin, Dec 02 2014

Status

approved