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A075363 Triangle read by rows, in which n-th row gives n smallest powers of n. 2
1, 2, 4, 3, 9, 27, 4, 16, 64, 256, 5, 25, 125, 625, 3125, 6, 36, 216, 1296, 7776, 46656, 7, 49, 343, 2401, 16807, 117649, 823543, 8, 64, 512, 4096, 32768, 262144, 2097152, 16777216, 9, 81, 729, 6561, 59049, 531441, 4782969, 43046721, 387420489, 10, 100, 1000, 10000, 100000, 1000000, 10000000, 100000000, 1000000000, 10000000000 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..55.

FORMULA

T(n, k) = n^k, 1<=k<=n.

a(n) = A002024(n)^A002260(n). [Gerald Hillier, Feb 12 2009]

EXAMPLE

From Felix Fröhlich, Sep 15 2019: (Start)

Triangle begins:

   1;

   2,   4;

   3,   9,   27;

   4,  16,   64,   256;

   5,  25,  125,   625,   3125;

   6,  36,  216,  1296,   7776,   46656;

   7,  49,  343,  2401,  16807,  117649,  823543;

   8,  64,  512,  4096,  32768,  262144, 2097152, 16777216;

   9,  81,  729,  6561,  59049,  531441, 4782969, 43046721, 387420489; (End)

PROG

(PARI) row(n) = for(k=1, n, print1(n^k, ", "))

trianglerows(n) = for(x=1, n, row(x); print(""))

/* Print initial 10 rows as follows: */

trianglerows(10) \\ Felix Fröhlich, Sep 15 2019

CROSSREFS

Cf. A075364.

T(n, 1) = A000027(n), T(n, n) = A000312(n). Cf. A090414.

Sequence in context: A110339 A223703 A157406 * A082382 A239599 A271864

Adjacent sequences:  A075360 A075361 A075362 * A075364 A075365 A075366

KEYWORD

nonn,tabl,easy,changed

AUTHOR

Amarnath Murthy, Sep 20 2002

EXTENSIONS

More terms from Antonio G. Astudillo (afg_astudillo(AT)lycos.com), Apr 20 2003

More terms from Michel Marcus, Sep 15 2019

STATUS

approved

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Last modified September 17 16:57 EDT 2019. Contains 327136 sequences. (Running on oeis4.)