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Search: id:A135159
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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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+0
9
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| 1, 4, 20, 106, 560, 2914, 14960, 76066, 384320, 1933954, 9707600
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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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
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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
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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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CROSSREFS
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Cf. A000079, A000244, A000351, A007689.
Sequence in context: A026305 A131786 A061709 this_sequence A020084 A026127 A153295
Adjacent sequences: A135156 A135157 A135158 this_sequence A135160 A135161 A135162
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KEYWORD
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easy,nonn
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AUTHOR
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Omar E. Pol (info(AT)polprimos.com), Nov 21 2007
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