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A001241 Differences of reciprocals of unity.
(Formerly M5301 N2305)
3
1, 50, 1660, 46760, 1217776, 30480800, 747497920, 18139003520, 437786795776, 10536798272000, 253246254177280, 6082300519393280, 146028165842661376, 3505313580591718400, 84135194495708938240, 2019336829962040279040 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
REFERENCES
F. N. David, M. G. Kendall and D. E. Barton, Symmetric Function and Allied Tables, Cambridge, 1966, p. 228.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
LINKS
Mircea Merca, Some experiments with complete and elementary symmetric functions, Periodica Mathematica Hungarica, 69 (2014), 182-189.
Simon Plouffe, Approximations de séries génératrices et quelques conjectures, Dissertation, Université du Québec à Montréal, 1992; arXiv:0911.4975 [math.NT], 2009.
Simon Plouffe, 1031 Generating Functions, Appendix to Thesis, Montreal, 1992
FORMULA
G.f.: x / ((1-6*x)*(1-8*x)*(1-12*x)*(1-24*x)).
a(n) = (1/6)*(-6^n + 3*8^n - 3*12^n + 24^n).
MAPLE
A001241:=1/(6*z-1)/(8*z-1)/(12*z-1)/(24*z-1); [Conjectured by Simon Plouffe in his 1992 dissertation.]
CROSSREFS
Equals 2^(n-1) * A028037(n-1).
Right-hand column 3 in triangle A008969.
a(n) = A112492(n+2, 4).
Sequence in context: A159187 A075912 A062151 * A164986 A224121 A238283
KEYWORD
nonn,easy
AUTHOR
EXTENSIONS
Formulae and more terms from Ralf Stephan, Feb 20 2005
STATUS
approved

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Last modified March 29 05:48 EDT 2024. Contains 371265 sequences. (Running on oeis4.)