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Search: id:A140319
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| A140319 |
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Exponential primorial: a(n)=prime(n)^a(n-1), a(0)=1, where prime(n)=A000040(n). |
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+0
2
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OFFSET
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0,2
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COMMENT
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The next term is too large to include.
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LINKS
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J. Sondow, "Exponential Factorial." From MathWorld--A Wolfram Web Resource, by E. W. Weisstein. [M. F. Hasler, Nov 03 2009]
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EXAMPLE
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a(1) = prime(1)^a(0) = 2^1 = 2.
a(2) = 3^2 = 9.
a(3) = 5^9 = 1953125.
a(4) = 7^1953125 has 1650583 digits, starting with 12864794... and ending in ...31920807. [M. F. Hasler, Nov 03 2009]
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MAPLE
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P:=proc(n) local a, i; a:=2; print(a); for i from 2 by 1 to n do a:=ithprime(i)^a; print(a); od; end: P(5);
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PROGRAM
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(PARI) A140319(n)=if(n, prime(n)^A140319(n-1), 1) \\ [M. F. Hasler, Nov 03 2009]
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CROSSREFS
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Cf. A002110, A049384, A139802.
Cf. A152859 (alternate definition: start with a(0)=0), A167155. [M. F. Hasler, Nov 03 2009]
Sequence in context: A049384 A132859 A103562 this_sequence A120314 A050924 A096877
Adjacent sequences: A140316 A140317 A140318 this_sequence A140320 A140321 A140322
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KEYWORD
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easy,nonn,bref
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AUTHOR
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Paolo P. Lava & Giorgio Balzarotti (ppl(AT)spl.at), May 26 2008
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EXTENSIONS
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Corrected offset/definition, added initial term a(0)=1 M. F. Hasler (MHasler(AT)univ-ag.fr), Nov 03 2009
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