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A155955 Triangle read by rows: T(n,k) = (k*n)^k, 0 <= k <= n. 15
1, 1, 1, 1, 2, 16, 1, 3, 36, 729, 1, 4, 64, 1728, 65536, 1, 5, 100, 3375, 160000, 9765625, 1, 6, 144, 5832, 331776, 24300000, 2176782336, 1, 7, 196, 9261, 614656, 52521875, 5489031744, 678223072849, 1, 8, 256, 13824, 1048576, 102400000, 12230590464 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

T(n,0)  = 1;

T(n,1)  = n for n > 0;

T(n,2)  = A016742(n) for n > 1;

T(n,3)  = A016767(n) for n > 2;

T(n,4)  = A016804(n) for n > 3;

T(n,5)  = A016853(n) for n > 4;

T(n,6)  = A016914(n) for n > 5;

T(n,7)  = A016987(n) for n > 6;

T(n,8)  = A017072(n) for n > 7;

T(n,9)  = A017169(n) for n > 8;

T(n,10) = A017278(n) for n > 9;

T(n,11) = A017399(n) for n > 10;

T(n,12) = A017532(n) for n > 11;

T(n,n)  = A062206(n).

LINKS

G. C. Greubel, Rows n=0..100 of triangle, flattened

EXAMPLE

Triangle begins:

  1;

  1, 1;

  1, 2,  16;

  1, 3,  36,  729;

  1, 4,  64, 1728,  65536;

  1, 5, 100, 3375, 160000,  9765625;

  1, 6, 144, 5832, 331776, 24300000, 2176782336;

  ...

MATHEMATICA

Table[If[n == 0, 1, If[ k == 0, 1, (k*n)^k]], {n, 0, 10}, {k, 0, n}]//Flatten (* G. C. Greubel, Sep 15 2018 *)

PROG

(PARI) for(n=0, 10, for(k=0, n, print1((k*n)^k, ", "))) \\ G. C. Greubel, Sep 15 2018

(MAGMA) [[(n*k)^k: k in [0..n]]: n in [0..10]]; // G. C. Greubel, Sep 15 2018

CROSSREFS

Cf. A000312.

Sequence in context: A175982 A136666 A031361 * A221076 A230513 A300138

Adjacent sequences:  A155952 A155953 A155954 * A155956 A155957 A155958

KEYWORD

nonn,tabl

AUTHOR

Reinhard Zumkeller, Jan 31 2009

STATUS

approved

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Last modified April 10 08:09 EDT 2021. Contains 342845 sequences. (Running on oeis4.)