A082234 In the following square array numbers are entered like this A(1,1), A(1,2), A(2,1), A(3,1), A(2,2), A(1,3), A(1,4), A(2,3), A(3,2), A(4,1), A(5,1), A(4,2), ... such that every entry is the geometric mean of the two diametrically opposite neighbors (wherever a pair exists).

1, 2, 3, 9, 6, 4, 8, 12, 18, 27, 81, 54, 36, 24, 16, 32, 48, 72, 108, 162, 243, 729, 486, 324, 216, 144, 96, 64, 128, 192, 288, 432, 648, 972, 1458, 2187, 6561, 4374, 2916, 1944, 1296, 864, 576, 384, 256, 512, 768, 1152, 1728, 2592, 3888, 5832, 8748, 13122

Offset

1,2

Links

Table of n, a(n) for n=1..54.

Formula

A(r, s) = 3^(r-1)*2^(s-1).

Example

Array begins:
   1,  2,   4,   8,  16,  32,   64, ...
   3,  6,  12,  24,  48,  96,  192, ...
   9, 18,  36,  72, 144, 288,  576, ...
  27, 54, 108, 216, 432, 864, 1728, ...
  ...

Crossrefs

Cf. A082233.

Sequence in context: A127612 A038756 A011164 * A263256 A168221 A011028

Adjacent sequences: A082231 A082232 A082233 * A082235 A082236 A082237

Keyword

easy,nonn

Author

Amarnath Murthy, Apr 10 2003

Extensions

More terms from Sean A. Irvine, Nov 30 2025

Status

approved