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A082156 Dispersion of the complement of row 1 of A056536. 3
1, 4, 2, 9, 6, 3, 16, 12, 8, 5, 25, 20, 15, 11, 7, 36, 30, 24, 19, 14, 10, 49, 42, 35, 29, 23, 18, 13, 64, 56, 48, 41, 34, 28, 22, 17, 81, 72, 63, 55, 47, 40, 33, 27, 21, 100, 90, 80, 71, 62, 54, 46, 39, 32, 26, 121, 110, 99, 89, 79, 70, 61, 53, 45, 38, 31, 144, 132, 120, 109 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Rectangular array read by antidiagonals; a permutation of the natural numbers. (Row 1) = squares = A000290(n) = n^2. (Dispersion of complement of column 1 of A082156) = (Transpose of A056537).  The associated fractal sequence is A122196.

LINKS

Table of n, a(n) for n=1..70.

C. Kimberling, Interspersions and Dispersions.

C. Kimberling, Interspersions and dispersions, Proceedings of the American Mathematical Society, 117 (1993) 313-321.

Clark Kimberling and John E. Brown, Partial Complements and Transposable Dispersions, J. Integer Seqs., Vol. 7, 2004.

FORMULA

The transpose of A056536.

EXAMPLE

Northwest corner:

1 4 9 16 25

2 6 12 20 30

3 8 15 24 35

5 11 19 29 41

7 14 23 34 47

CROSSREFS

Cf. A056536, A000290.

Sequence in context: A213778 A095833 A163990 * A283941 A285090 A114577

Adjacent sequences:  A082153 A082154 A082155 * A082157 A082158 A082159

KEYWORD

nonn,tabl

AUTHOR

Clark Kimberling, Apr 05 2003

STATUS

approved

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Last modified February 21 02:02 EST 2020. Contains 332086 sequences. (Running on oeis4.)