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A182944 Array of prime powers p^j, where j >= 1, by antidiagonals. 8
2, 4, 3, 8, 9, 5, 16, 27, 25, 7, 32, 81, 125, 49, 11, 64, 243, 625, 343, 121, 13, 128, 729, 3125, 2401, 1331, 169, 17, 256, 2187, 15625, 16807, 14641, 2197, 289, 19, 512, 6561, 78125, 117649, 161051, 28561, 4913, 361, 23 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

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

The joint-rank array of this sequence is A182869.

Main diagonal gives A062457. - Omar E. Pol, Sep 11 2018

LINKS

Table of n, a(n) for n=1..45.

FORMULA

T(i,j) = prime(i)^j, j >= 1.

From Peter Munn, Dec 29 2019: (Start)

T(i,j) = A182945(j,i) = A319075(j,i).

T(i,j) = A242378(i-1,2^j) = A329332(2^(i-1),j).

T(i,i) = A062457(i).

(End)

EXAMPLE

Northwest corner:

  2,     4,     8,    16,    32, ...

  3,     9,    27,    81,   243, ...

  5,    25,   125,   625,  3125, ...

  7,    49,   343,  2401, 16807, ...

  ...

MATHEMATICA

TableForm[Table[Prime[n]^j, {n, 1, 14}, {j, 1, 8}]]

CROSSREFS

Cf. A000961, A062457, A182945.

Columns: A000040 (1), A001248 (2), A030078 (3), A030514 (4), A050997 (5), A030516 (6), A092759 (7), A179645 (8), A179665 (9), A030629 (10).

A319075 extends the array with 0-th powers.

Subtable of A242378, A284457, A329332.

Sequence in context: A048767 A269851 A284457 * A269385 A252755 A163511

Adjacent sequences:  A182941 A182942 A182943 * A182945 A182946 A182947

KEYWORD

nonn,tabl

AUTHOR

Clark Kimberling, Dec 14 2010

STATUS

approved

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Last modified May 27 03:03 EDT 2020. Contains 334647 sequences. (Running on oeis4.)