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A134633
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5*n^5 + 3*n^3 + 2*n^2. Coefficients and exponents are the prime numbers in decreasing order.
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0
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0, 10, 192, 1314, 5344, 16050, 39600, 85162, 165504, 297594, 503200, 809490, 1249632, 1863394, 2697744, 3807450, 5255680, 7114602, 9465984, 12401794, 16024800, 20449170, 25801072, 32219274, 39855744, 48876250, 59460960, 71805042, 86119264, 102630594, 121582800, 143237050, 167872512, 195786954, 227297344
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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FORMULA
| a(n) = 5*n^5 + 3*n^3 + 2*n^2.
G.f.: 2x*(5+66x+156x^2+70x^3+3x^4)/(1-x)^6. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 14 2007
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EXAMPLE
| a(4)=5344 because 4^5=1024, 5*1024=5120, 4^3=64, 3*64=192, 4^2=16, 2*16=32 and we can write 5120+192+32=5344.
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PROG
| (MAGMA)[5*n^5+3*n^3+2*n^2: n in [0..50]][From V. Librandi, Dec 14 2010]
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CROSSREFS
| Cf. A000290, A000578, A000584, A045991, A100019, A133073.
Sequence in context: A045756 A144772 A072387 * A006436 A187652 A007816
Adjacent sequences: A134630 A134631 A134632 * A134634 A134635 A134636
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KEYWORD
| nonn
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AUTHOR
| Omar E. Pol (info(AT)polprimos.com), Nov 04 2007
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EXTENSIONS
| More terms from Vincenzo Librandi, Dec 14 2010
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