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A082018
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First column of square array T(n,k) with T(1,1) = 1 where antidiagonals are filled alternating upwards and downwards with the smallest number not already used such that the n-th antidiagonal sum is a multiple of n.
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3
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1, 4, 3, 13, 10, 21, 22, 40, 36, 64, 55, 81, 78, 115, 105, 138, 136, 182, 171, 211, 210, 265, 253, 300, 301, 364, 351, 433, 406, 477, 465, 556, 528, 606, 595, 695, 666, 751, 741, 850, 820, 912, 903, 1021, 990, 1089, 1081, 1208, 1176, 1282, 1275, 1411, 1378
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| This is the boustrophedon method of filling an array. Sums of antidiagonals of T are in A074132. Sums of antidiagonals of T divided by number of antidiagonals are in A074133. Diagonal of T is in A082019.
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EXAMPLE
| T(n,k) begins:
1, 2, 7, 6, 18, 15, ...
4, 5, 8, 14, 16, 27, ...
3, 9, 12, 17, 26, 31, ...
13, 11, 19, 25, 32, 42, ...
10, 20, 24, 33, 41, 50, ...
21, 23, 34, 39, 51, 60, ...
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CROSSREFS
| Cf. A074135, A082017, A082019, A082020, A082002, A082003, A082004, A082005.
Sequence in context: A178756 A169706 A120340 * A056477 A105200 A088933
Adjacent sequences: A082015 A082016 A082017 * A082019 A082020 A082021
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KEYWORD
| nonn
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AUTHOR
| Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Apr 05 2003
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EXTENSIONS
| Edited and more terms from Alois P. Heinz (heinz(AT)hs-heilbronn.de), Oct 26 2011
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