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A163328 Square array A, where entry A(y,x) has the ternary digits of x interleaved with the ternary digits of y, converted back to decimal. Listed by antidiagonals: A(0,0), A(0,1), A(1,0), A(0,2), A(1,1), A(2,0), ...

%I A163328 #13 Feb 01 2021 00:15:13
%S A163328 0,1,3,2,4,6,9,5,7,27,10,12,8,28,30,11,13,15,29,31,33,18,14,16,36,32,
%T A163328 34,54,19,21,17,37,39,35,55,57,20,22,24,38,40,42,56,58,60,81,23,25,45,
%U A163328 41,43,63,59,61,243,82,84,26,46,48,44,64,66,62,244,246,83,85,87,47,49
%N A163328 Square array A, where entry A(y,x) has the ternary digits of x interleaved with the ternary digits of y, converted back to decimal. Listed by antidiagonals: A(0,0), A(0,1), A(1,0), A(0,2), A(1,1), A(2,0), ...
%H A163328 Antti Karttunen, <a href="/A163328/b163328.txt">Table of n, a(n) for n = 0..3320</a>
%H A163328 <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
%F A163328 a(n) = A037314(A025581(n)) + 3*A037314(A002262(n))
%F A163328 a(n) = A163327(A163330(n)).
%e A163328 From _Kevin Ryde_, Oct 06 2020: (Start)
%e A163328 Array A(y,x) read by downwards antidiagonals, so 0, 1,3, 2,4,6, etc.
%e A163328         x=0   1   2   3   4   5   6   7   8
%e A163328       +--------------------------------------
%e A163328   y=0 |   0,  1,  2,  9, 10, 11, 18, 19, 20,
%e A163328     1 |   3,  4,  5, 12, 13, 14, 21, 22,
%e A163328     2 |   6,  7,  8, 15, 16, 17, 24,
%e A163328     3 |  27, 28, 29, 36, 37, 38,
%e A163328     4 |  30, 31, 32, 39, 40,
%e A163328     5 |  33, 34, 35, 42,
%e A163328     6 |  54, 55, 56,
%e A163328     7 |  57, 58,
%e A163328     8 |  60,
%e A163328 (End)
%o A163328 (Scheme) (define (A163328 n) (+ (A037314 (A025581 n)) (* 3 (A037314 (A002262 n)))))
%o A163328 (PARI) A(y,x) = 3*fromdigits(digits(y,3),9) + fromdigits(digits(x,3),9); \\ _Kevin Ryde_, Oct 06 2020
%Y A163328 Inverse: A163329. Transpose: A163330.  Cf. A037314 (row y=0), A208665 (column x=0)
%Y A163328 Cf. A054238 is an analogous sequence for binary. Cf. A007089, A163327, A163332, A163334.
%K A163328 nonn,tabl,base
%O A163328 0,3
%A A163328 _Antti Karttunen_, Jul 29 2009
%E A163328 Edited by _Charles R Greathouse IV_, Nov 01 2009