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Search: id:A134633
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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
1
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| 0, 10, 192, 1314, 5344, 16050, 39600, 85162, 165504, 297594, 503200, 809490, 1249632, 1863394, 2697744, 3807450, 5255680, 7114602, 9465984
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OFFSET
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0,2
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FORMULA
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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
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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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CROSSREFS
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Cf. A000290, A000578, A000584, A045991, A100019, A133073.
Adjacent sequences: A134630 A134631 A134632 this_sequence A134634 A134635 A134636
Sequence in context: A045756 A144772 A072387 this_sequence A006436 A007816 A126463
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KEYWORD
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nonn
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AUTHOR
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Omar E. Pol (info(AT)polprimos.com), Nov 04 2007
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