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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 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... ... Sequence contains numbers as they are entered. +0
2
1, 2, 3, 9, 6, 4, 8, 12, 18, 27, 81, 54, 36, 24, 16, 32, 48, 72, 108, 162 (list; graph; listen)
OFFSET

1,2

FORMULA

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

EXAMPLE

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 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...

...

Sequence contains numbers as they are entered.

CROSSREFS

Cf. A082233.

Sequence in context: A127612 A038756 A011164 this_sequence A011028 A108694 A016634

Adjacent sequences: A082231 A082232 A082233 this_sequence A082235 A082236 A082237

KEYWORD

easy,nonn

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Apr 10 2003

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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