

A084287


Selfsimilar table, read by antidiagonals, where the kth row is the product of the kth prime with the antidiagonals of the first k rows of the table.


1



1, 2, 3, 4, 6, 5, 8, 9, 10, 7, 16, 12, 15, 14, 11, 32, 18, 20, 21, 22, 13, 64, 24, 30, 28, 33, 26, 17, 128, 27, 25, 42, 44, 39, 34, 19, 256, 48, 40, 35, 66, 52, 51, 38, 23, 512, 36, 45, 56, 55, 78, 68, 57, 46, 29, 1024, 96, 50, 63, 88, 65, 102, 76, 69, 58, 31, 2048, 54, 80, 70
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OFFSET

1,2


COMMENTS

A permutation of the natural numbers.


LINKS

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


FORMULA

2nd row = (3, 6, 9, 12, 18, 24, 27, 48, 36, 96, 54, 192, 72, 384, 81, ...) = 3*(1, 2, 3, 4, 6, 8, 9, 16, 12, 32, 18, 64, 24, 128, 27, ...); 3rd row = (5, 10, 15, 20, 30, 25, 40, 45, 50, 80, 60, 75, 160, 90, 100, ...) = 5*(1, 2, 3, 4, 6, 5, 8, 9, 10, 16, 12, 15, 32, 18, 20, ...); 4th row = (7, 14, 21, 28, 42, 35, 56, 63, 70, 49, 112, 84, 105, 98, ...) = 7*(1, 2, 3, 4, 6, 5, 8, 9, 10, 7, 16, 12, 15, 14, 32, 18, 20, 21, ...).


EXAMPLE

Table begins:
1,2,4,8,16,32,64,128,256,512,1024,2048,...
3,6,9,12,18,24,27,48,36,96,54,192,72,384,81,...
5,10,15,20,30,25,40,45,50,80,60,75,160,90,...
7,14,21,28,42,35,56,63,70,49,112,84,105,98,...
11,22,33,44,66,55,88,99,110,77,176,132,...
13,26,39,52,78,65,104,117,130,91,208,156,...
17,34,51,68,102,85,136,153,170,119,272,204,...


CROSSREFS

Cf. A084288 (antidiagonal sums).
Sequence in context: A232559 A094138 A116538 * A263265 A263267 A257471
Adjacent sequences: A084284 A084285 A084286 * A084288 A084289 A084290


KEYWORD

tabl,nonn


AUTHOR

Paul D. Hanna, May 25 2003


STATUS

approved



