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Search: id:A135160
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| A135160 |
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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, 6, 30, 144, 690, 3336, 16290, 80184, 396930, 1972296, 9823650
(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)=690 because 5^4=625, 3^4=81, 2^4=16 and we can write 625+81-16=690.
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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, A001047.
Sequence in context: A030192 A026376 A026899 this_sequence A046945 A089817 A006320
Adjacent sequences: A135157 A135158 A135159 this_sequence A135161 A135162 A135163
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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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