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A234077 Number of (n+1)X(2+1) 0..4 arrays with every 2X2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 10 1

%I #4 Dec 19 2013 07:10:31

%S 476,2900,18048,122532,849760,6162980,45072784,336800596,2522650128,

%T 19088198500,144496686736,1099235735220,8361799506432,63763278750940,

%U 486171217676608,3711468980550724,28330997175625424,216398588504027700

%N Number of (n+1)X(2+1) 0..4 arrays with every 2X2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 10

%C Column 2 of A234083

%H R. H. Hardin, <a href="/A234077/b234077.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-1) +110*a(n-2) -519*a(n-3) -4442*a(n-4) +20823*a(n-5) +81982*a(n-6) -411807*a(n-7) -690514*a(n-8) +4300171*a(n-9) +1861828*a(n-10) -23858897*a(n-11) +6643493*a(n-12) +68557098*a(n-13) -46245180*a(n-14) -103634888*a(n-15) +97714860*a(n-16) +81249120*a(n-17) -98401776*a(n-18) -30312448*a(n-19) +51151424*a(n-20) +3449856*a(n-21) -13460736*a(n-22) +567296*a(n-23) +1597440*a(n-24) -98304*a(n-25) -65536*a(n-26)

%e Some solutions for n=4

%e ..0..3..0....2..0..2....0..1..2....0..1..3....3..4..2....2..1..2....1..2..3

%e ..2..3..2....3..3..1....0..3..4....3..2..4....4..1..3....0..3..4....1..4..1

%e ..4..1..4....0..2..4....3..2..1....0..3..1....3..2..4....0..1..2....1..2..1

%e ..1..2..3....3..1..1....0..3..0....3..2..4....4..1..3....3..0..3....3..0..3

%e ..4..3..0....4..4..2....2..3..2....4..1..1....3..4..2....1..0..1....0..1..0

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 19 2013

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Last modified April 25 03:15 EDT 2024. Contains 371964 sequences. (Running on oeis4.)