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

2, 3, 4, 5, 9, 8, 7, 25, 27, 16, 11, 49, 125, 81, 32, 13, 121, 343, 625, 243, 64, 17, 169, 1331, 2401, 3125, 729, 128, 19, 289, 2197, 14641, 16807, 15625, 2187, 256, 23, 361, 4913, 28561, 161051, 117649, 78125, 6561, 512, 29, 529, 6859, 83521, 371293, 1771561, 823543, 390625, 19683, 1024

Offset: 1

Author

Clark Kimberling, Dec 14 2010

Keywords

• nonn
• tabl

Comments

The monotonic ordering of this sequence, with 1 prefixed, is A000961.

The joint-rank array of this sequence is A182869.

Examples

			Northwest corner:
   2    3     5     7
   4    9    25    49
   8   27   125   343
  16   81   625  2401
		

Links

• Robert Israel, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A000961, A182944, A000040 (row 1), A001248 (row 2), A030078 (row 3).

Antidiagonal products give A006939.

Cf. A319075 (extends the array with 0th powers).

Programs

Magma

[NthPrime(n-i)^i: i in [1..n-1], n in [2..15]]; // Vincenzo Librandi, Jul 28 2015

Maple

seq(seq(ithprime(n-i)^i,i=1..n-1),n=2..20); # Robert Israel, Jul 27 2015

Mathematica

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}]]