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Search: id:A120458
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| A120458 |
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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. |
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2
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| 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; listen)
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OFFSET
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0,3
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COMMENT
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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.
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EXAMPLE
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1
1, 2
1, 4, 9
1, 8, 27, 125
1, 16, 81, 625, 2401
1, 32, 243, 3125, 16807, 161051
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MATHEMATICA
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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]
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CROSSREFS
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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
Adjacent sequences: A120455 A120456 A120457 this_sequence A120459 A120460 A120461
Sequence in context: A113820 A133267 A076014 this_sequence A086933 A077878 A128058
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KEYWORD
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nonn,tabl
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AUTHOR
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Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Jun 24 2006
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EXTENSIONS
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Edited by njas, Mar 26 2007
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