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A234202 Number of (n+1) X (2+1) 0..5 arrays with every 2 X 2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 15. 1

%I #6 Apr 11 2022 13:10:22

%S 440,1732,6644,28016,115680,509536,2169836,9814536,42498000,195663360,

%T 856196216,3992938424,17600721348,82886620036,367331112116,

%U 1742966235544,7755822204860,37017397272612,165231545698596,792217800373064

%N Number of (n+1) X (2+1) 0..5 arrays with every 2 X 2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 15.

%C Column 2 of A234208.

%H R. H. Hardin, <a href="/A234202/b234202.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 10*a(n-1) +35*a(n-2) -651*a(n-3) +419*a(n-4) +16705*a(n-5) -37770*a(n-6) -216562*a(n-7) +772034*a(n-8) +1449450*a(n-9) -8226531*a(n-10) -3432396*a(n-11) +53203704*a(n-12) -19299470*a(n-13) -221565837*a(n-14) +197415839*a(n-15) +605551158*a(n-16) -820429189*a(n-17) -1065993213*a(n-18) +2055641766*a(n-19) +1094316298*a(n-20) -3372056546*a(n-21) -351098112*a(n-22) +3691267180*a(n-23) -636122040*a(n-24) -2662114168*a(n-25) +998183888*a(n-26) +1207919856*a(n-27) -667852864*a(n-28) -308559296*a(n-29) +239536384*a(n-30) +30592768*a(n-31) -43737088*a(n-32) +2252800*a(n-33) +3080192*a(n-34) -458752*a(n-35).

%e Some solutions for n=5

%e ..0..1..0....0..1..4....0..0..0....4..0..1....1..0..4....4..1..0....1..0..5

%e ..5..1..5....5..1..5....5..0..5....1..4..4....5..1..4....1..5..1....5..1..1

%e ..1..4..1....0..1..4....3..3..3....5..1..0....1..4..0....4..1..0....1..0..5

%e ..5..1..5....5..1..5....0..5..0....4..1..5....5..1..4....5..1..5....5..1..1

%e ..5..2..5....0..1..0....5..5..5....4..0..1....1..0..4....4..1..4....1..4..5

%e ..1..5..1....1..5..1....5..0..5....4..5..1....5..1..4....4..0..4....5..1..1

%Y Cf. A234208.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 21 2013

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Last modified April 19 21:09 EDT 2024. Contains 371798 sequences. (Running on oeis4.)