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Search: id:A110342
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| A110342 |
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a(1) = 1; a(n) = product of n successive primes beginning with n if n is prime else product of n successive composite numbers beginning with n. |
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+0
1
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| 1, 6, 105, 1728, 85085, 725760, 215656441, 522547200, 27433728000, 1609445376000, 2928046583754721, 2824576634880000, 50774191064678342417, 6327051662131200000, 507067997493657600000, 42593711789467238400000
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Contains A075068 as a subsequence. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 05 2008
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MAPLE
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nextNonprime := proc(n) local a; for a from n+1 do if not isprime(a) then RETURN(a) ; fi ; od: end: A110342 := proc(n) local res, cnt, nfac; res := n ; if isprime(n) then nfac := nextprime(n) ; for cnt from 2 to n do res := res*nfac ; nfac := nextprime(nfac) ; od: else nfac := nextNonprime(n) ; for cnt from 2 to n do res := res*nfac ; nfac := nextNonprime(nfac) ; od: fi; RETURN(res) ; end: seq(A110342(n), n=1..30) ; - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 05 2008
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CROSSREFS
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Sequence in context: A112822 A033589 A077289 this_sequence A126467 A013294 A013300
Adjacent sequences: A110339 A110340 A110341 this_sequence A110343 A110344 A110345
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KEYWORD
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nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jul 20 2005
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EXTENSIONS
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More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 05 2008
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