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A306717 Square array T(n, k) of positive integers, n > 0, k > 0, read by antidiagonals, filled the greedy way, such that for any i >= 0 and j >= 0 with i + j > 0, no three terms T(n, k), T(n+i, k+j), T(n+2*i, k+2*j) form an arithmetic progression. 1

%I #7 Mar 08 2019 20:12:16

%S 1,1,1,2,1,2,1,2,2,1,1,1,3,1,1,2,1,2,2,1,2,2,2,2,1,2,2,2,4,2,3,1,1,3,

%T 2,4,4,4,5,2,1,2,5,4,4,1,4,5,4,2,2,4,5,4,1,1,1,7,2,4,3,4,2,7,1,1,2,1,

%U 2,5,4,5,5,4,5,2,1,2,1,2,5,1,5,5,4,5,5

%N Square array T(n, k) of positive integers, n > 0, k > 0, read by antidiagonals, filled the greedy way, such that for any i >= 0 and j >= 0 with i + j > 0, no three terms T(n, k), T(n+i, k+j), T(n+2*i, k+2*j) form an arithmetic progression.

%C This sequence is a 2-dimensional variant of A229037.

%H Rémy Sigrist, <a href="/A306717/a306717.png">Colored representation of T(n, k) for n = 1..1000 and k = 1..1000</a> (where the hue is function of T(n, k))

%H Rémy Sigrist, <a href="/A306717/a306717.txt">C++ program for A306717</a>

%F T(n, k) = T(k, n).

%F T(n, 1) = T(n, 2) = A229037(n).

%o (C++) See Links section.

%Y Cf. A229037.

%K nonn,tabl

%O 1,4

%A _Rémy Sigrist_, Mar 06 2019

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Last modified September 17 05:28 EDT 2024. Contains 375985 sequences. (Running on oeis4.)