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%I #20 Sep 05 2023 16:56:15
%S 0,0,0,0,0,1,923,414638,141905658,44926520946,14490345222595,
%T 4982468227997168,1856518533812384105,750167381136816327009,
%U 326628155352701098746754,151933161224857150407326456,74864085012461648054019799968,38785037369022058785365519932029
%N Number of n X n nonnegative integer arrays with upper left entry 0, lower right entry n - 6, every value within 5 of its king-move distance from the upper left, and every value increasing by 0 or 1 with every step right, diagonally southeast, or down.
%H Robert Dougherty-Bliss and Manuel Kauers, <a href="https://arxiv.org/abs/2309.00487">Hardinian Arrays</a>, arXiv:2309.00487 [math.CO], 2023.
%F Conjecture: a(n) ~ (2^4 / (3^23 * Pi^2)) * 1024^n / n^10.
%e Example for n = 8:
%e 00011112
%e 11111122
%e 22222222
%e 22222222
%e 22222222
%e 22222222
%e 22222222
%e 22222222
%Y Cf. A253026, A253217, A252998.
%K nonn
%O 1,7
%A _Robert Dougherty-Bliss_, Sep 04 2023
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