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A109588
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n followed by n^2 followed by n^3.
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13
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1, 1, 1, 2, 4, 8, 3, 9, 27, 4, 16, 64, 5, 25, 125, 6, 36, 216, 7, 49, 343, 8, 64, 512, 9, 81, 729, 10, 100, 1000, 11, 121, 1331, 12, 144, 1728, 13, 169, 2197, 14, 196, 2744, 15, 225, 3375, 16, 256, 4096, 17, 289, 4913, 18, 324, 5832, 19, 361, 6859, 20, 400, 8000
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,4
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FORMULA
| a(n)= 4 a(n-3) -6 a(n-6) +4 a(n-9) -a(n-12). a(3k+1)=k. a(3k+2)=A000290(k+1). a(3k+3)=A000578(k+1). G.f.: x*(1+x+x^2-2*x^3+4*x^5+x^6-x^7+x^8)/((x-1)^4*(1+x+x^2)^4). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 30 2009]
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MAPLE
| seq(seq(n^k, k=1..3), n=1..20); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 29 2007
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CROSSREFS
| Cf. A000463.
Sequence in context: A050170 A087089 A197382 * A052331 A119436 A059884
Adjacent sequences: A109585 A109586 A109587 * A109589 A109590 A109591
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KEYWORD
| nonn
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AUTHOR
| Mohammad K. Azarian (azarian(AT)evansville.edu), Aug 30 2005
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