|
| |
|
|
A163239
|
|
Transpose of array A163237.
|
|
4
|
|
|
|
0, 3, 1, 15, 2, 5, 12, 14, 6, 4, 60, 13, 10, 7, 20, 63, 61, 9, 11, 23, 21, 51, 62, 57, 8, 27, 22, 17, 48, 50, 58, 56, 24, 26, 18, 16, 240, 49, 54, 59, 40, 25, 30, 19, 80, 243, 241, 53, 55, 43, 41, 29, 31, 83, 81, 255, 242, 245, 52, 39, 42, 45, 28, 95, 82, 85, 252, 254, 246
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
0,2
|
|
|
COMMENTS
|
The top left 8x8 corner of this array
+0 +3 15 12 60 63 51 48
+1 +2 14 13 61 62 50 49
+5 +6 10 +9 57 58 54 53
+4 +7 11 +8 56 59 55 52
20 23 27 24 40 43 39 36
21 22 26 25 41 42 38 37
17 18 30 29 45 46 34 33
16 19 31 28 44 47 35 32))
corresponds with Adamson's "H-bond codon-anticodon magic square" (see page 287 in Pickover's book):
CCC CCU CUU CUC UUC UUU UCU UCC
CCA CCG CUG CUA UUA UUG UCG UCA
CAA CAG CGG CGA UGA UGG UAG UAA
CAC CAU CGU CGC UGC UGU UAU UAC
AAC AAU AGU AGC GGC GGU GAU GAC
AAA AAG AGG AGA GGA GGG GAG GAA
ACA ACG AUG AUA GUA GUG GCG GCA
ACC ACU AUU AUC GUC GUU GCU GCC
when the base-triplets are interpreted as quaternary (base-4) numbers, with the following rules: C = 0, A = 1, G = 2, U = 3.
|
|
|
REFERENCES
|
Clifford A. Pickover, The Zen of Magic Squares, Circles, and Stars: An Exhibition of Surprising Structures across Dimensions, Princeton University Press, 2002, pp. 285-289.
|
|
|
LINKS
|
A. Karttunen, Table of n, a(n) for n = 0..2079
Index entries for sequences that are permutations of the natural numbers
|
|
|
CROSSREFS
|
Inverse: A163240. a(n) = A163241(A163235(n)). Transpose: A163237. Cf. A147995.
Sequence in context: A080924 A128042 A108083 * A134145 A134146 A085569
Adjacent sequences: A163236 A163237 A163238 * A163240 A163241 A163242
|
|
|
KEYWORD
|
nonn,tabl
|
|
|
AUTHOR
|
Antti Karttunen, Jul 29 2009
|
|
|
STATUS
|
approved
|
| |
|
|
