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Search: id:A001241
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| A001241 |
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Differences of reciprocals of unity.
(Formerly M5301 N2305)
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+0
3
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| 1, 50, 1660, 46760, 1217776, 30480800, 747497920, 18139003520, 437786795776, 10536798272000, 253246254177280, 6082300519393280, 146028165842661376, 3505313580591718400, 84135194495708938240, 2019336829962040279040
(list; graph; listen)
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OFFSET
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1,2
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
F. N. David, M. G. Kendall and D. E. Barton, Symmetric Function and Allied Tables, Cambridge, 1966, p. 228.
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LINKS
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S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
S. Plouffe, 1031 Generating Functions and Conjectures, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
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FORMULA
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G.f.: x / [(1-6x)(1-8x)(1-12x)(1-24x) ].
(1/6) [ -6^n + 3*8^n - 3*12^n + 24^n ].
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MAPLE
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A001241:=1/(6*z-1)/(8*z-1)/(12*z-1)/(24*z-1); [Conjectured by S. Plouffe in his 1992 dissertation.]
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CROSSREFS
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Equals 2^(n-1) * A028037(n-1).
Right-hand column 3 in triangle A008969.
Cf. a(n)=A112492(n+2, 4).
Sequence in context: A159187 A075912 A062151 this_sequence A164986 A156087 A078304
Adjacent sequences: A001238 A001239 A001240 this_sequence A001242 A001243 A001244
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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Formulae and more terms from Ralf Stephan, Feb 20 2005
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