The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A075363

(Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A075363

Triangle read by rows, in which n-th row gives n smallest powers of n.
(history; published version)

#20 by Sean A. Irvine at Fri Jul 28 18:27:43 EDT 2023

STATUS

proposed

approved

#19 by Manfred Boergens at Sun Jun 18 06:43:52 EDT 2023

STATUS

editing

proposed

#18 by Manfred Boergens at Sun Jun 18 06:43:02 EDT 2023

COMMENTS

T(n,k) is the number of sequences with repetition (k-tuples) of k (not necessarily different) elements taken from an n-set S. These sequences are also called "words of length k over the alphabet S". For sequences without repetition (partial permutations) cf. A068424. - Manfred Boergens, Jun 18 2023

CROSSREFS

Cf. A075364, A068424.

STATUS

approved

editing

#17 by N. J. A. Sloane at Sun Sep 15 10:55:22 EDT 2019

STATUS

proposed

approved

#16 by Michel Marcus at Sun Sep 15 03:43:29 EDT 2019

STATUS

editing

proposed

#15 by Michel Marcus at Sun Sep 15 03:43:26 EDT 2019

EXTENSIONS

More terms from Michel Marcus, Sep 15 2019

STATUS

proposed

editing

#14 by Felix Fröhlich at Sun Sep 15 03:32:47 EDT 2019

STATUS

editing

proposed

#13 by Felix Fröhlich at Sun Sep 15 03:32:40 EDT 2019

PROG

trianglerows(n) = for(x=1, n, row(x); print("")) \\ _Felix Fröhlich_, Sep 15 2019

/* Print initial 10 rows as follows: */

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

STATUS

proposed

editing

#12 by Felix Fröhlich at Sun Sep 15 03:30:50 EDT 2019

STATUS

editing

proposed

#11 by Felix Fröhlich at Sun Sep 15 03:29:36 EDT 2019

EXAMPLE

From Felix Fröhlich, Sep 15 2019: (Start)

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("")) \\ Felix Fröhlich, Sep 15 2019

STATUS

proposed

editing

Discussion

Sun Sep 15

03:30

Felix Fröhlich: Add extension?