|
| |
|
|
A120458
|
|
Triangle read by rows: row 0 is 1; for n>0, row n gives 1^n, prime(1)^n, prime(2)^n, ..., prime(n)^n.
|
|
4
| |
|
|
1, 1, 2, 1, 4, 9, 1, 8, 27, 125, 1, 16, 81, 625, 2401, 1, 32, 243, 3125, 16807, 161051, 1, 64, 729, 15625, 117649, 1771561, 4826809, 1, 128, 2187, 78125, 823543, 19487171, 62748517, 410338673, 1, 256, 6561, 390625, 5764801, 214358881, 815730721
(list; table; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,3
|
|
|
COMMENTS
| Polynomials like x^2+2^2*x+3^2 and x^4+2^4+x^3+3^4*x^2+5^4*x+7^4 inspired this sequence.
|
|
|
EXAMPLE
| 1
1, 2
1, 4, 9
1, 8, 27, 125
1, 16, 81, 625, 2401
1, 32, 243, 3125, 16807, 161051
|
|
|
MATHEMATICA
| T[n_, m_] := If[n == 0, 1, Prime[n]^m] a = Table[Table[T[n, m], {n, 0, m}], {m, 0, 10}] b = Flatten[a] MatrixForm[a]
|
|
|
CROSSREFS
| Rows n=1, 2, 3, .., 7 are A000040, A001248, A030078, A030514, A050997, A030516 and A092759. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 23 2007
Sequence in context: A145864 A182739 A076014 * A183244 A086933 A077878
Adjacent sequences: A120455 A120456 A120457 * A120459 A120460 A120461
|
|
|
KEYWORD
| nonn,tabl
|
|
|
AUTHOR
| Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Jun 24 2006
|
|
|
EXTENSIONS
| Edited by N. J. A. Sloane (njas(AT)research.att.com), Mar 26 2007
|
| |
|
|
