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 A143372 Expansion of 1/(1 +x -2*x^2 -x^3 -x^4 -3*x^5 +2*x^6 +2*x^7 +3*x^8 +2*x^9 -3*x^10 -7*x^11 -3*x^12 -5*x^13). 5
 1, -1, 3, -4, 10, -13, 27, -38, 70, -99, 173, -242, 400, -548, 869, -1136, 1718, -2088, 2936, -3033, 3615, -1763, -513, 10082, -24172, 58958, -111749, 220258, -385285, 693194, -1157154, 1970073, -3175964, 5190188, -8114526, 12799806, -19405803, 29552880, -43266292, 63282734, -88506070, 122514819, -159419554 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 REFERENCES Claude Shannon and Warren Weaver, A Mathematical Theory of Communication, University of Illinois Press, Chicago, 1963, pages 37 - 38. LINKS G. C. Greubel, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, signature (-1,2,1,1,3,-2,-2,-3,-2,3,7,3,5). FORMULA G.f.: x^13 * p(1/x), where p(y) = -5 -3*y -7*y^2 -3*y^3 +2*y^4 +3*y^5 +2*y^6 +2*y^7 -3*y^8 -y^9 -y^10 -2*y^11 +y^12 +y^13. G.f.: 1/(1 +x -2*x^2 -x^3 -x^4 -3*x^5 +2*x^6 +2*x^7 +3*x^8 +2*x^9 -3*x^10 -7*x^11 -3*x^12 -5*x^13). - G. C. Greubel, Feb 08 2021 MATHEMATICA CoefficientList[Series[1/(1 +x -2*x^2 -x^3 -x^4 -3*x^5 +2*x^6 +2*x^7 +3*x^8 +2*x^9 -3*x^10 -7*x^11 -3*x^12 -5*x^13), {x, 0, 50}], x] PROG (Sage) def A143372_list(prec): P. = PowerSeriesRing(ZZ, prec) return P( 1/(1 +x -2*x^2 -x^3 -x^4 -3*x^5 +2*x^6 +2*x^7 +3*x^8 +2*x^9 -3*x^10 -7*x^11 -3*x^12 -5*x^13) ).list() A143372_list(50) # G. C. Greubel, Feb 08 2021 (Magma) R:=PowerSeriesRing(Rationals(), 50); Coefficients(R!( 1/(1 +x -2*x^2 -x^3 -x^4 -3*x^5 +2*x^6 +2*x^7 +3*x^8 +2*x^9 -3*x^10 -7*x^11 -3*x^12 -5*x^13) )); // G. C. Greubel, Feb 08 2021 CROSSREFS Cf. A122762, A143351, A143373, A143375. Sequence in context: A302347 A092119 A362649 * A035594 A167273 A096380 Adjacent sequences: A143369 A143370 A143371 * A143373 A143374 A143375 KEYWORD sign AUTHOR Roger L. Bagula and Gary W. Adamson, Oct 22 2008 EXTENSIONS Edited by G. C. Greubel, Feb 08 2021 STATUS approved

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Last modified July 13 02:46 EDT 2024. Contains 374264 sequences. (Running on oeis4.)