login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

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