A163239 Transpose of array A163237.

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

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-triples 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: A232179 A128042 A108083 * A134145 A134146 A085569

Adjacent sequences: A163236 A163237 A163238 * A163240 A163241 A163242

Keyword

nonn,tabl

Author

Antti Karttunen, Jul 29 2009

Status

approved