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A135159
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5^n-3^n+2^n. Constants are the prime numbers in decreasing order.
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8
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1, 4, 20, 106, 560, 2914, 14960, 76066, 384320, 1933954, 9707600, 48653026, 243613280, 1219116994, 6098749040, 30503261986, 152544909440, 762810444034, 3814310107280, 19072324590946, 95363945904800, 476826699947074, 2384154414150320, 11920834820287906, 59604362362631360, 298022376621898114
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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FORMULA
| a(n)=5^n-3^n+2^n.
G.f.: 1/(1-5*x)-1/(1-3*x)+1/(1-2*x). E.g.f.: e^(5*x)-e^(3*x)+e^(2*x). [From Mohammad K. Azarian (azarian(AT)evansville.edu), Jan 16 2009]
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EXAMPLE
| a(4)=560 because 5^4=625, 3^4=81, 2^4=16 and we can write 625-81+16=560.
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MATHEMATICA
| lst={}; Do[p=5^n-3^n+2^n; AppendTo[lst, p], {n, 0, 7^2}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Aug 19 2008]
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PROG
| (MAGMA)[5^n-3^n+2^n: n in [0..50]][From Vincenzo Librandi, Dec 15 2010]
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CROSSREFS
| Cf. A000079, A000244, A000351, A007689.
Sequence in context: A195256 A131786 A061709 * A190724 A020084 A026127
Adjacent sequences: A135156 A135157 A135158 * A135160 A135161 A135162
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KEYWORD
| easy,nonn
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AUTHOR
| Omar E. Pol (info(AT)polprimos.com), Nov 21 2007
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EXTENSIONS
| More terms from Vincenzo Librandi, Dec 15 2010
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