A309977 Position of n in row n of McGarvey's array; see A007062.

1, 1, 6, 4, 5, 11, 2, 22, 13, 15, 30, 4, 23, 11, 12, 58, 43, 45, 68, 28, 97, 37, 8, 64, 35, 95, 66, 10, 105, 21, 82, 54, 55, 155, 196, 126, 171, 93, 142, 184, 27, 235, 16, 290, 157, 65, 124, 18, 81, 131, 72, 288, 239, 243, 304, 36, 375, 209, 144, 276, 211

Offset

1,3

Links

Table of n, a(n) for n=1..61.

Example

McGarvey's array (from A007062):
   1  2  3  4  5  6  7  8  9 10 11 12 13 14 15 16 17 18 19 20
   2  1  4  3  6  5  8  7 10  9 12 11 14 13 16 15 18 17 20 19
   4  1  2  5  6  3 10  7  8 11 12  9 16 13 14 17 18 15 22 19
   5  2  1  4  7 10  3  6  9 12 11  8 17 14 13 16 19 22 15 18
   7  4  1  2  5 12  8  6  3 10 13 14 17  8 11 18 15 22 19 16
  12  5  2  1  4  7 14 13 10  3  6  8 22 15 18 11  8 17 24 23
  14  7  4  1  2  5 12 15 22  8  6  3 10 13 20 23 24 17  8 11
  15 12  5  2  1  4  7 14 23 20 13 10  3  6  8 22 25 28 31 18
In row 3, the entry 3 occurs in position 6, so that a(3) = 6.

Mathematica

s[0] = Range[10000]; s[n_] := Flatten[Map[Reverse, Partition[s[n - 1], n]]];
Flatten[Table[Position[s[n], n], {n, 1, 500}]]

Crossrefs

Cf. A007062.

Sequence in context: A361605 A356479 A317866 * A349700 A201408 A153606

Adjacent sequences: A309974 A309975 A309976 * A309978 A309979 A309980

Keyword

nonn,easy

Author

Clark Kimberling, Aug 25 2019

Status

approved