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Search: id:A130606
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| A130606 |
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Prime(n+1)^n - prime(n)^n. |
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+0
1
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| 1, 16, 218, 12240, 210242, 19310760, 483533066, 61327422240, 12705993314406, 398921053680600, 152509144883055582, 15980538294526150800, 793161021967277155922, 182781628843528905568920, 61073803538208251485772814
(list; graph; listen)
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OFFSET
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1,2
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FORMULA
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Prime(n) is the n-th prime number.
a(n)=A093360(n+1)-A062457(n). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Nov 25 2008]
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EXAMPLE
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For n=2, prime(2+1)^2 - prime(2)^2 = 5^2 - 3^2 = 4^2, the second entry.
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MAPLE
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a := proc (n) options operator, arrow; ithprime(n+1)^n-ithprime(n)^n end proc: seq(a(n), n = 1 .. 15); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Jul 09 2007
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PROGRAM
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(PARI) g1(n) = for(x=1, n, y=prime(x+1)^x-prime(x)^x; print1(y", "))
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CROSSREFS
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Sequence in context: A080514 A081969 A076097 this_sequence A076073 A092657 A078266
Adjacent sequences: A130603 A130604 A130605 this_sequence A130607 A130608 A130609
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KEYWORD
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nonn,new
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AUTHOR
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Cino Hilliard (hillcino368(AT)hotmail.com), Jun 17 2007
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EXTENSIONS
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More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Jul 09 2007
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