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 A201865 Expansion of 1/((1-3*x)*(1+7*x)). 1
 1, -4, 37, -232, 1705, -11692, 82573, -575824, 4037329, -28241620, 197750389, -1384075576, 9689060473, -67821828988, 474757585885, -3323288752288, 23263064312737, -162841321048996, 1139889634763461, -7979226281082760, 55854587454363721, -390982101720192844 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Bruno Berselli, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, signature (-4,21). FORMULA G.f.: 1/((1-3*x)*(1+7*x)). a(n) = (3^(n+1)+7*(-7)^n)/10. a(n) = -4*a(n-1)+21*a(n-2) with n>0, a(-1)=0, a(0)=1. a(n)-a(n-1) = A083300(n)*(-1)^n. a(n)+5*a(n-1) = A083296(n) with a(-1)=0. MATHEMATICA CoefficientList[Series[1/((1-3*x)*(1+7*x)), {x, 0, 22}], x] PROG (PARI) Vec(1/((1-3*x)*(1+7*x))+O(x^22)) (Magma) m:=22; R:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/((1-3*x)*(1+7*x)))); (Maxima) makelist(coeff(taylor(1/((1-3*x)*(1+7*x)), x, 0, n), x, n), n, 0, 21); CROSSREFS Cf. A014986, A083296, A083300. Sequence in context: A063418 A095819 A335773 * A025542 A162649 A221059 Adjacent sequences: A201862 A201863 A201864 * A201866 A201867 A201868 KEYWORD sign,easy AUTHOR Bruno Berselli, Dec 07 2011 STATUS approved

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Last modified March 30 00:49 EDT 2023. Contains 361599 sequences. (Running on oeis4.)