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A251515 T(n,k)=Number of (n+1)X(k+1) 0..4 arrays with every 2X2 subblock summing to a prime 8

%I #4 Dec 03 2014 17:04:18

%S 234,2264,2264,21862,45470,21862,211680,915152,915152,211680,2047194,

%T 18567350,38529532,18567350,2047194,19818328,376244106,1644478410,

%U 1644478410,376244106,19818328,191708742,7639226604,70039777210

%N T(n,k)=Number of (n+1)X(k+1) 0..4 arrays with every 2X2 subblock summing to a prime

%C Table starts

%C .......234.........2264...........21862.............211680..............2047194

%C ......2264........45470..........915152...........18567350............376244106

%C .....21862.......915152........38529532.........1644478410..........70039777210

%C ....211680.....18567350......1644478410.......148463964846.......13364799461286

%C ...2047194....376244106.....70039777210.....13364799461286.....2540293097889030

%C ..19818328...7639226604...2992599553368...1208313756081050...485520243093380470

%C .191708742.154952279458.127661562848818.109013443872596196.92544866490813863710

%H R. H. Hardin, <a href="/A251515/b251515.txt">Table of n, a(n) for n = 1..112</a>

%F Empirical for column k:

%F k=1: [linear recurrence of order 9]

%F k=2: [order 35]

%e Some solutions for n=2 k=4

%e ..0..1..0..0..1....0..0..0..0..0....0..0..0..0..0....0..0..0..1..0

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Dec 03 2014

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Last modified April 16 14:51 EDT 2024. Contains 371749 sequences. (Running on oeis4.)