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Search: id:A131045
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| A131045 |
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Binomial transform of Euler's totient function phi(n+1). |
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+0
1
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| 1, 2, 5, 12, 29, 68, 155, 348, 775, 1712, 3745, 8112, 17431, 37252, 79355, 168710, 358037, 758020, 1599675, 3362876, 7041593, 14692956, 30577435, 63531092, 131901879, 273804738, 568366037, 1179585610, 2446603047, 5068970880
(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)=Sum(binom(n,j)phi(j+1),j=0..n). - Emeric Deutsch (deutsch(AT)duke.poly.edu), Jul 09 2007
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EXAMPLE
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a(3)=(1,3,3,1) dot (1,1,2,2)=1+3+6+2=12.
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MAPLE
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with(numtheory); a := proc (n) options operator, arrow; sum(binomial(n, j)*phi(j+1), j = 0 .. n) end proc; seq(a(n), n = 0 .. 30); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Jul 09 2007
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CROSSREFS
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Cf. A000010, A007318.
Sequence in context: A162036 A062422 A079864 this_sequence A026721 A094975 A067687
Adjacent sequences: A131042 A131043 A131044 this_sequence A131046 A131047 A131048
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KEYWORD
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nonn
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Jun 11 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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