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A001242
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Differences of reciprocals of unity.
(Formerly M5433 N2362)
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7
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1, 274, 48076, 6998824, 929081776, 117550462624, 14500866102976, 1765130436471424, 213373597575314176, 25700650466807540224, 3089923562153380965376, 371145495540181143169024, 44558899569395347436056576, 5348360831598738338465357824
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OFFSET
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1,2
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REFERENCES
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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).
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LINKS
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Colin Barker, Table of n, a(n) for n = 1..481
Mircea Merca, Some experiments with complete and elementary symmetric functions, Periodica Mathematica Hungarica, 69 (2014), 182-189.
Index entries for linear recurrences with constant coefficients, signature (274,-27000,1224000,-25920000,207360000).
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FORMULA
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G.f.: x / ((1-24*x)*(1-30*x)*(1-40*x)*(1-60*x)*(1-120*x)).
a(n) = (1/24) (24^n - 4*30^n + 6*40^n - 4*60^n + 120^n).
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PROG
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(PARI) Vec(1/(-207360000*x^5+25920000*x^4-1224000*x^3+27000*x^2-274*x+1) + O(x^100)) \\ Colin Barker, Apr 26 2015
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CROSSREFS
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Equals 2^(n-1) * A103878(n).
Right-hand column 4 in triangle A008969.
Cf. a(n) = A112492(n+3, 5).
Sequence in context: A165677 A143076 A171346 * A214111 A023681 A070272
Adjacent sequences: A001239 A001240 A001241 * A001243 A001244 A001245
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane
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EXTENSIONS
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Formulae and more terms from Ralf Stephan, Feb 20 2005
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STATUS
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approved
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