cp's OEIS Frontend

A163239 Transpose of array A163237.

%I A163239 #8 May 09 2025 22:03:22
%S A163239 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,
%T A163239 22,17,48,50,58,56,24,26,18,16,240,49,54,59,40,25,30,19,80,243,241,53,
%U A163239 55,43,41,29,31,83,81,255,242,245,52,39,42,45,28,95,82,85,252,254,246
%N A163239 Transpose of array A163237.
%C A163239 The top left 8x8 corner of this array
%C A163239   +0 +3 15 12 60 63 51 48
%C A163239   +1 +2 14 13 61 62 50 49
%C A163239   +5 +6 10 +9 57 58 54 53
%C A163239   +4 +7 11 +8 56 59 55 52
%C A163239   20 23 27 24 40 43 39 36
%C A163239   21 22 26 25 41 42 38 37
%C A163239   17 18 30 29 45 46 34 33
%C A163239   16 19 31 28 44 47 35 32
%C A163239 corresponds with Adamson's "H-bond codon-anticodon magic square" (see page 287 in Pickover's book):
%C A163239   CCC CCU CUU CUC UUC UUU UCU UCC
%C A163239   CCA CCG CUG CUA UUA UUG UCG UCA
%C A163239   CAA CAG CGG CGA UGA UGG UAG UAA
%C A163239   CAC CAU CGU CGC UGC UGU UAU UAC
%C A163239   AAC AAU AGU AGC GGC GGU GAU GAC
%C A163239   AAA AAG AGG AGA GGA GGG GAG GAA
%C A163239   ACA ACG AUG AUA GUA GUG GCG GCA
%C A163239   ACC ACU AUU AUC GUC GUU GCU GCC
%C A163239 when the base-triples are interpreted as quaternary (base-4) numbers, with the following rules: C = 0, A = 1, G = 2, U = 3.
%D A163239 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.
%H A163239 A. Karttunen, <a href="/A163239/b163239.txt">Table of n, a(n) for n = 0..2079</a>
%H A163239 <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
%Y A163239 Inverse: A163240. a(n) = A163241(A163235(n)). Transpose: A163237. Cf. A147995.
%K A163239 nonn,tabl
%O A163239 0,2
%A A163239 _Antti Karttunen_, Jul 29 2009