A251405 Number of (n+1)X(3+1) 0..2 arrays with every 2X2 subblock summing to a prime

1230, 19654, 313396, 5037428, 80717134, 1297591952, 20821486740, 334615097454, 5372226680912, 86314887480804, 1386111085767596, 22267469816286444, 357628521355564074, 5744786434818322008, 92269696855690481672

Offset

1,1

Comments

Column 3 of A251410

Links

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

Formula

Empirical: a(n) = 7*a(n-1) +415*a(n-2) -2170*a(n-3) -65018*a(n-4) +279158*a(n-5) +5209878*a(n-6) -19110091*a(n-7) -241884065*a(n-8) +770936285*a(n-9) +6925377809*a(n-10) -19408276678*a(n-11) -126423709248*a(n-12) +316443716761*a(n-13) +1497304356328*a(n-14) -3412859931553*a(n-15) -11572642532092*a(n-16) +24480490792547*a(n-17) +58017621913005*a(n-18) -115645342019311*a(n-19) -185048719496534*a(n-20) +350615451009020*a(n-21) +363598533038691*a(n-22) -653187102277345*a(n-23) -423563887277148*a(n-24) +702290291166770*a(n-25) +283913177157700*a(n-26) -400320176322800*a(n-27) -106630599041392*a(n-28) +108533272966240*a(n-29) +18430917299936*a(n-30) -12244527293952*a(n-31) -1022082252800*a(n-32) +426212623232*a(n-33) +14250333696*a(n-34) -4553766400*a(n-35) -32858112*a(n-36) +9977856*a(n-37)

Example

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

Crossrefs

Sequence in context: A038813 A368637 A250894 * A278018 A182721 A183881

Adjacent sequences: A251402 A251403 A251404 * A251406 A251407 A251408

Keyword

nonn

Author

R. H. Hardin, Dec 02 2014

Status

approved