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 A079901 Triangle of powers, T(n,k) = n^k, 0<=k<=n, read by rows. 13
 1, 1, 1, 1, 2, 4, 1, 3, 9, 27, 1, 4, 16, 64, 256, 1, 5, 25, 125, 625, 3125, 1, 6, 36, 216, 1296, 7776, 46656, 1, 7, 49, 343, 2401, 16807, 117649, 823543, 1, 8, 64, 512, 4096, 32768, 262144, 2097152, 16777216, 1, 9, 81, 729, 6561, 59049, 531441, 4782969, 43046721 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 COMMENTS T(n,k) = if k=0 then 1 else T(n,k-1)*n; T(n,0)=1; T(n,1)=n for n>0; T(n,2)=A000290(n) for n>1; T(n,3)=A000578(n) for n>2; T(n,4)=A000583(n) for n>3; T(n,n-2)=A000272(n) for n>2; T(n,n-1)=A000169(n) for n>1; T(n,n)=A000312(n). Matrix inverse equals the triangle R where R(n,k) = A107045(n,k)/A107046(n,k) are coefficients with exponential-like properties. - Paul D. Hanna, May 22 2005 LINKS Reinhard Zumkeller, Rows n = 0..125 of triangle, flattened EXAMPLE 1; 1,1; 1,2,4; 1,3,9,27; 1,4,16,64,256; 1,5,25,125,625,3125; MATHEMATICA Join[{1}, Flatten[Table[n^k, {n, 9}, {k, 0, n}]]] (* Harvey P. Dale, Feb 08 2013 *) PROG (Haskell) a079901 n k = a079901_tabl !! n !! k a079901_row n = a079901_tabl !! n a079901_tabl = zipWith (map . (^)) [0..] a002262_tabl -- Reinhard Zumkeller, Mar 31 2015 CROSSREFS Cf. A107045/A107046 (matrix inverse). Cf. A002262, A000290, A000578, A000583, A000272, A000169, A000312. Sequence in context: A100075 A059836 A069270 * A121426 A190183 A004515 Adjacent sequences:  A079898 A079899 A079900 * A079902 A079903 A079904 KEYWORD nonn,easy,tabl AUTHOR Reinhard Zumkeller, Feb 21 2003 STATUS approved

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Last modified June 4 04:39 EDT 2020. Contains 334815 sequences. (Running on oeis4.)