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A182945 Array of prime powers p^j, as transpose of A182944.

%I A182945 #38 Jul 17 2023 07:45:49
%S A182945 2,3,4,5,9,8,7,25,27,16,11,49,125,81,32,13,121,343,625,243,64,17,169,
%T A182945 1331,2401,3125,729,128,19,289,2197,14641,16807,15625,2187,256,23,361,
%U A182945 4913,28561,161051,117649,78125,6561,512,29,529,6859,83521,371293,1771561,823543,390625,19683,1024
%N A182945 Array of prime powers p^j, as transpose of A182944.
%C A182945 The monotonic ordering of this sequence, with 1 prefixed, is A000961.
%C A182945 The joint-rank array of this sequence is A182869.
%H A182945 Robert Israel, <a href="/A182945/b182945.txt">Table of n, a(n) for n = 1..10000</a>
%e A182945 Northwest corner:
%e A182945    2    3     5     7
%e A182945    4    9    25    49
%e A182945    8   27   125   343
%e A182945   16   81   625  2401
%p A182945 seq(seq(ithprime(n-i)^i,i=1..n-1),n=2..20); # _Robert Israel_, Jul 27 2015
%t A182945 width=9;Table[Table[Prime[n]^j,{n,1,width},{j,1,width}]]; Flatten[Table[Table[%[[z-k+1]][[k]],{k,1,z}],{z,1,width}]]
%o A182945 (Magma) [NthPrime(n-i)^i: i in [1..n-1], n in [2..15]]; // _Vincenzo Librandi_, Jul 28 2015
%Y A182945 Cf. A000961, A182944, A000040 (row 1), A001248 (row 2), A030078 (row 3).
%Y A182945 Antidiagonal products give A006939.
%Y A182945 Cf. A319075 (extends the array with 0th powers).
%K A182945 nonn,tabl
%O A182945 1,1
%A A182945 _Clark Kimberling_, Dec 14 2010