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 A175715 Expansion of 1/(1 - x - x^2 - 3*x^4 + 4*x^5 - 2*x^6). 1
 1, 1, 2, 3, 8, 10, 22, 35, 73, 112, 227, 376, 726, 1216, 2321, 3981, 7430, 12907, 23888, 41886, 76782, 135631, 247309, 438860, 796747, 1419144, 2568858, 4586608, 8284885, 14819657, 26728034, 47870371, 86244344, 154607362, 278326950, 499272603, 898307169 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS The ratio a(n+1)/a(n) approaches 1.796757012458598901977511048324681177... LINKS G. C. Greubel, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, signature (1,1,0,3,-4,2). FORMULA G.f.: 1/(1 - x - x^2 - 3*x^4 + 4*x^5 - 2*x^6). MAPLE seq(coeff(series(1/(1-x-x^2-3*x^4+4*x^5-2*x^6), x, n+1), x, n), n = 0..40); # G. C. Greubel, Dec 04 2019 MATHEMATICA LinearRecurrence[{1, 1, 0, 3, -4, 2}, {1, 1, 2, 3, 8, 10}, 40] (* Bruno Berselli, May 17 2017 *) PROG (PARI) my(x='x+O('x^40)); Vec(1/(1-x-x^2-3*x^4+4*x^5-2*x^6)) \\ G. C. Greubel, Dec 04 2019 (MAGMA) R:=PowerSeriesRing(Integers(), 40); Coefficients(R!( 1/(1-x-x^2-3*x^4+4*x^5-2*x^6) )); // G. C. Greubel, Dec 04 2019 (Sage) def A175715_list(prec):     P. = PowerSeriesRing(ZZ, prec)     return P( 1/(1-x-x^2-3*x^4+4*x^5-2*x^6) ).list() A175715_list(40) # G. C. Greubel, Dec 04 2019 (GAP) a:=[1, 1, 2, 3, 8, 10];; for n in [7..30] do a[n]:=a[n-1]+a[n-2]+3*a[n-4] - 4*a[n-5]+2*a[n-6]; od; a; # G. C. Greubel, Dec 04 2019 CROSSREFS Sequence in context: A083799 A098844 A034437 * A329582 A138880 A063474 Adjacent sequences:  A175712 A175713 A175714 * A175716 A175717 A175718 KEYWORD nonn,easy AUTHOR Roger L. Bagula, Dec 04 2010 STATUS approved

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Last modified September 23 20:42 EDT 2021. Contains 347617 sequences. (Running on oeis4.)