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A251478
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Number of (n+1)X(4+1) 0..3 arrays with every 2X2 subblock summing to a prime and those sums nondecreasing in every row and column
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1
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12670, 123739, 1096596, 7485767, 48046512, 261990105, 1374831443, 6492635940, 29922945960, 128376366657, 542148465879, 2177044477138, 8653751344617, 33172911909577, 126371883761749, 468816840146963, 1733460732539026
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