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A083044 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) = ceiling(x*T(n,k)), where x=3/2, n>=0, k>=0. 17
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 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

First row is A061419, first column is T(n,0)=3n+1, main diagonal is A083045, antidiagonal sums give A083046.

A083044 is the dispersion of the sequence A007494 of positive integers congruent to (0 or 2) mod 3; see A191655. - Clark Kimberling, Jun 10 2011

LINKS

Table of n, a(n) for n=0..67.

EXAMPLE

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 ...

CROSSREFS

Cf. A061419, A083045, A083046, A083047, A083050.

Sequence in context: A297673 A083050 A194030 * A126714 A035506 A246368

Adjacent sequences:  A083041 A083042 A083043 * A083045 A083046 A083047

KEYWORD

nonn,tabl

AUTHOR

Paul D. Hanna, Apr 18 2003

STATUS

approved

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Last modified February 24 22:26 EST 2018. Contains 299627 sequences. (Running on oeis4.)