A279477 A 3-dimensional variant of A269526 "Infinite Sudoku": expansion (read first by layer, then by row) of "Type 1" tetrahedron P(n,j,k). (See A269526 and Comments section below for definition.)
1, 2, 3, 4, 5, 1, 6, 2, 5, 3, 3, 4, 7, 8, 9, 1, 6, 10, 2, 5, 6, 2, 5, 1, 3, 4, 4, 7, 6, 3, 5, 1, 8, 4, 2, 4, 7, 8, 6, 10, 2, 8, 9, 5, 1, 10, 2, 11, 12, 5, 9, 3, 7, 13, 1, 6, 9, 5, 1, 3, 11, 7, 1, 4, 3, 8, 6, 12, 10, 2, 3, 7, 5, 8, 6, 4, 10, 2, 6, 1, 3, 5, 7, 11
Offset: 1
Examples
Layers start P(1,1,1):
Layer 1: 1
----
Layer 2: 2
3 4
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Layer 3: 5
1 6
2 5 3
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Layer 4: 3
4 7
8 9 1
6 10 2 5
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Layer 4, Row 3, Column 2 = P(4,3,2) = 9.
P(4,2,2) = 7 because all coefficients < 7 have appeared in at least one row, column or diagonal to P(4,2,2): P(3,2,1) = 1; P(3,3,1)= 2; P(3,3,3) and P(4,1,1) = 3; P(2,2,2) and P(4,2,1) = 4; P(3,1,1) and P(3,3,2) = 5; and P(3,2,2) = 6.
Expanding successive layers (read by rows):
1
2, 3, 4
5, 1, 6, 2, 5, 3
3, 4, 7, 8, 9, 1, 6, 10, 2, 5
6, 2, 5, 1, 3, 4, 4, 7, 6, 3, 5, 1, 8, 4, 2
4, 7, 8, 6, 10, 2, 8, 9, 5, 1, 10, 2, 11, 12, 5, 9, 3, 7, 13, 1, 6
Comments