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Search: id:A062723
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| A062723 |
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Least common multiple (lcm) of the first n+1 terms of A000792. |
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+0
2
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| 1, 1, 2, 6, 12, 12, 36, 36, 36, 108, 108, 108, 324, 324, 324, 972, 972, 972, 2916, 2916, 2916, 8748, 8748, 8748, 26244, 26244, 26244, 78732, 78732, 78732, 236196, 236196, 236196, 708588, 708588, 708588, 2125764, 2125764, 2125764, 6377292, 6377292
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Apparently this sequence (when taken without repeats) is a subsequence of A000792.
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LINKS
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Harry J. Smith, Table of n, a(n) for n=0,...,400
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FORMULA
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a(n) = 4*3^floor(n/3), n >= 3. - Vladeta Jovovic (vladeta(AT)eunet.rs), Jul 18 2001
G.f.: (1+x+2*x^2+3*x^3+9*x^4+6*x^5+18*x^6)/(1-3*x^3).
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EXAMPLE
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a(4)=12 beacuse a(4) is the lcm of 1,1,2,3,4 - which is clearly 12.
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PROGRAM
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(PARI) a(n)=if(n<0, 0, if(n<4, n!, 4*3^(n\3)))
(PARI) { for (n=0, 400, if (n<4, a=n!, a=4*3^(n\3)); write("b062723.txt", n, " ", a) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Aug 09 2009]
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CROSSREFS
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Cf. A000244, A000792.
Sequence in context: A058198 A096075 A066791 this_sequence A152667 A145892 A154712
Adjacent sequences: A062720 A062721 A062722 this_sequence A062724 A062725 A062726
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KEYWORD
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easy,nonn
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AUTHOR
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Felix Goldberg (felixg(AT)tx.technion.ac.il), Jul 15 2001
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EXTENSIONS
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Formula and correction from Vladeta Jovovic (vladeta(AT)eunet.rs), Jul 18 2001
More terms from Jason Earls (zevi_35711(AT)yahoo.com), Jul 21 2001
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