A182945 - OEIS

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

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OFFSET

1,1

COMMENTS

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

The joint-rank array of this sequence is A182869.

LINKS

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

EXAMPLE

Northwest corner:

2 3 5 7

4 9 25 49

8 27 125 343

16 81 625 2401

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}]]

PROG

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

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).

Sequence in context: A284311 A357581 A174225 * A360069 A052270 A265335

Adjacent sequences: A182942 A182943 A182944 * A182946 A182947 A182948

KEYWORD

nonn,tabl

AUTHOR

Clark Kimberling, Dec 14 2010

STATUS

approved