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A083044
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Square table read by antidiagonals forms a permutation of the natural numbers: T(n,0)=floor(n*x/(x-1))+1, T(n,k+1)=ceil(x*T(n,k)), where x=3/2, n>=0, k>=0.
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17
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1, 2, 4, 3, 6, 7, 5, 9, 11, 10, 8, 14, 17, 15, 13, 12, 21, 26, 23, 20, 16, 18, 32, 39, 35, 30, 24, 19, 27, 48, 59, 53, 45, 36, 29, 22, 41, 72, 89, 80, 68, 54, 44, 33, 25, 62, 108, 134, 120, 102, 81, 66, 50, 38, 28, 93, 162, 201, 180, 153, 122, 99, 75, 57, 42, 31, 140, 243
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OFFSET
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0,2
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COMMENTS
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First row is A061419, first column is T(n,0)=3n+1, main diagonal is A083045, anti-diagonal sums give A083046.
A083044 is the dispersion of the sequence A007494 of positive integers congruent to (0 or 2) mod 3; see A191655. [From Clark Kimberling, Jun 10 2011]
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LINKS
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Table of n, a(n) for n=0..67.
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EXAMPLE
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Table begins:
1 2 3 5 8 12 18 27 41 62 93 140 ...
4 6 9 14 21 32 48 72 108 162 243 365 ...
7 11 17 26 39 59 89 134 201 302 453 680 ...
10 15 23 35 53 80 120 180 270 405 608 912 ...
13 20 30 45 68 102 153 230 345 518 777 1166 ...
16 24 36 54 81 122 183 275 413 620 930 1395 ...
19 29 44 66 99 149 224 336 504 756 1134 1701 ...
22 33 50 75 113 170 255 383 575 863 1295 1943 ...
25 38 57 86 129 194 291 437 656 984 1476 2214 ...
28 42 63 95 143 215 323 485 728 1092 1638 2457 ...
31 47 71 107 161 242 363 545 818 1227 1841 2762 ...
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CROSSREFS
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Cf. A061419, A083045, A083046, A083047, A083050.
Sequence in context: A216623 A083050 A194030 * A126714 A035506 A006016
Adjacent sequences: A083041 A083042 A083043 * A083045 A083046 A083047
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KEYWORD
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nonn,tabl
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AUTHOR
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Paul D. Hanna, Apr 18 2003
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STATUS
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approved
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