A163240 -id:A163240 - cp's OEIS frontend

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

Antti Karttunen, Jul 29 2009

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.

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.

Inverse: A163240. a(n) = A163241(A163235(n)). Transpose: A163237. Cf. A147995.

A163238 Inverse permutation to A163237.

Original entry on oeis.org

0, 1, 4, 2, 6, 3, 7, 11, 24, 18, 12, 17, 9, 13, 8, 5, 28, 21, 29, 37, 10, 15, 22, 16, 31, 39, 30, 23, 58, 48, 38, 47, 112, 98, 84, 97, 73, 85, 72, 61, 40, 49, 60, 50, 70, 59, 71, 83, 35, 43, 34, 27, 62, 52, 42, 51, 32, 25, 33, 41, 14, 19, 26, 20, 120, 105, 121, 137, 78

Offset: 0

Antti Karttunen, Jul 29 2009

nonn

Inverse: A163237. a(n) = A163234(A163241(n)). Cf. A163240.

cp's OEIS Frontend

A163239 Transpose of array A163237.

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