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 A177825 Expansion of 1/((1 + x^3 - x^4)*(1 - x)). 1
 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 3, 0, 2, -2, 4, -1, 5, -5, 6, -5, 11, -10, 12, -15, 22, -21, 28, -36, 44, -48, 65, -79, 93, -112, 145, -171, 206, -256, 317, -376, 463, -572, 694, -838, 1036, -1265, 1533, -1873, 2302, -2797, 3407 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,7 COMMENTS Limiting ratio a(n+1)/a(n) is -1.2207440846057594..., which is a root of z^4 + z - 1. LINKS Robert Israel, Table of n, a(n) for n = 0..10000 Index entries for linear recurrences with constant coefficients, signature (1,0,-1,2,-1). FORMULA Recurrence a(i)= a(i-1) - a(i-3) + 2 a(i-4) - a(i-5). a(n) = (-1)^n*A175790(n). MAPLE N:= 100: # to get terms up to index N for i from 0 to 4 do a[i]:= coeftayl(1/(1+x^3-x^4)/(1-x), x=0, i) end do: for i from 5 to N do a[i]:= a[i-1] - a[i-3] + 2*a[i-4] - a[i-5] end do: [seq(a[i], i=0..N)]; # Robert Israel, Feb 11 2013 MATHEMATICA CoefficientList[ Series[1/(1 - x + x^3 - 2 x^4 + x^5), {x, 0, 50}], x] (* Or *) LinearRecurrence[{1, 0, -1, 2, -1}, {1, 1, 1, 0, 1}, 51] (* Robert G. Wilson v, Feb 11 2013 *) CROSSREFS Cf. A175790. Sequence in context: A224928 A308066 A052173 * A175790 A124305 A349395 Adjacent sequences: A177822 A177823 A177824 * A177826 A177827 A177828 KEYWORD sign,easy AUTHOR Roger L. Bagula, Dec 13 2010 EXTENSIONS Recurrence, reference to A175790, and comment edited by Robert Israel, Feb 11 2013 STATUS approved

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Last modified June 18 11:55 EDT 2024. Contains 373481 sequences. (Running on oeis4.)