|
Search: id:A060736
|
|
|
| A060736 |
|
Array of square numbers read by antidiagonals in up direction. |
|
+0
4
|
|
| 1, 2, 4, 5, 3, 9, 10, 6, 8, 16, 17, 11, 7, 15, 25, 26, 18, 12, 14, 24, 36, 37, 27, 19, 13, 23, 35, 49, 50, 38, 28, 20, 22, 34, 48, 64, 65, 51, 39, 29, 21, 33, 47, 63, 81, 82, 66, 52, 40, 30, 32, 46, 62, 80, 100
(list; table; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
COMMENT
|
A simple permutation of natural numbers
|
|
LINKS
|
Index entries for sequences that are permutations of the natural numbers
|
|
FORMULA
|
T(n+1, k)=n*n+k, T(k, n+1)=(n+1)*(n+1)+1-k, 1 <= k <= n+1.
|
|
EXAMPLE
|
1 4 9 16 .. => a(1)= 1
2 3 8 15 .. => a(2)= 2, a(3)=4
5 6 7 14 .. => a(4)= 5, a(5)=3, a(6)=9
10 11 12 13 .. => a(7)=10, a(8)=6, a(9)=8, a(10)=16
|
|
CROSSREFS
|
Cf. A060734. Inverse permutation: A064788.
Sequence in context: A026198 A026206 A117606 this_sequence A097292 A038776 A118461
Adjacent sequences: A060733 A060734 A060735 this_sequence A060737 A060738 A060739
|
|
KEYWORD
|
nonn,tabl
|
|
AUTHOR
|
Frank Ellermann (Frank.Ellermann(AT)t-online.de), Apr 23 2001
|
|
|
Search completed in 0.002 seconds
|
