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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
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
KEYWORD
nonn,tabl
AUTHOR
Reinhard Zumkeller, Jan 31 2009
STATUS
approved

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Last modified June 19 23:45 EDT 2024. Contains 373510 sequences. (Running on oeis4.)