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 A001242 Differences of reciprocals of unity. (Formerly M5433 N2362) 7
 1, 274, 48076, 6998824, 929081776, 117550462624, 14500866102976, 1765130436471424, 213373597575314176, 25700650466807540224, 3089923562153380965376, 371145495540181143169024, 44558899569395347436056576, 5348360831598738338465357824 (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 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). FORMULA 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). PROG (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 CROSSREFS 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 A344731 A023681 Adjacent sequences:  A001239 A001240 A001241 * A001243 A001244 A001245 KEYWORD nonn,easy AUTHOR EXTENSIONS Formulae and more terms from Ralf Stephan, Feb 20 2005 STATUS approved

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Last modified June 25 19:25 EDT 2022. Contains 354851 sequences. (Running on oeis4.)