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 A173908 Expansion of 1/(1 + x - x^3 - x^4 - x^8 - x^12 - x^13 - x^17 - x^21 - x^22 - x^26 - x^30 - x^31 + x^33 + x^34). 23
 1, -1, 1, 0, 0, 0, 1, -1, 2, -2, 3, -2, 3, -2, 4, -3, 6, -5, 9, -7, 12, -9, 16, -12, 22, -17, 31, -24, 43, -33, 59, -45, 81, -63, 113, -88, 156, -121, 215, -168, 298, -233, 412, -323, 570, -448, 788, -621, 1090, -861, 1507, -1193, 2084, -1654, 2882, -2293 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,9 COMMENTS This polynomial is what I call a bi-Salem polynomial because it has two roots bigger than 1 (one positive and one negative). LINKS G. C. Greubel, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, signature (1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,1,0,-1,-1). FORMULA a(n) = a(n-1) + (n-3) + a(n-4) + a(n-8) + a(n-12) + a(n-13) + a(n-17) + a(n-21) + a(n-22) + a(n-26) + a(n-30) + a(n-31) - a(n-33) - a(n-34). - Franck Maminirina Ramaharo, Nov 02 2018 MAPLE seq(coeff(series(1/(1+x-x^3-x^4-x^8-x^12-x^13-x^17-x^21-x^22-x^26-x^30-x^31+ x^33+x^34), x, n+1), x, n), n = 0..60); # G. C. Greubel, Dec 15 2019 MATHEMATICA CoefficientList[Series[1/(1+x-x^3-x^4-x^8-x^12-x^13-x^17-x^21-x^22-x^26-x^30 - x^31+x^33+x^34), {x, 0, 60}], x] PROG (PARI) x='x+O('x^60); Vec(1/(1+x-x^3-x^4-x^8-x^12-x^13-x^17-x^21-x^22-x^26 - x^30-x^31+x^33+x^34)) \\ G. C. Greubel, Nov 03 2018 (MAGMA) m:=60; R:=PowerSeriesRing(Integers(), m); Coefficients(R!(1/(1+x-x^3 -x^4-x^8-x^12-x^13-x^17-x^21-x^22-x^26-x^30-x^31+x^33+x^34))); // G. C. Greubel, Nov 03 2018 (Sage) def A173908_list(prec):     P. = PowerSeriesRing(ZZ, prec)     return P( 1/(1+x-x^3-x^4-x^8-x^12-x^13-x^17-x^21-x^22-x^26-x^30 - x^31+x^33+x^34) ).list() A173908_list(30) # G. C. Greubel, Dec 15 2019 CROSSREFS Cf. A029826, A117791, A143419, A143438, A143472, A143619, A143644, A147663, A173908, A173911, A173924, A173925, A174522, A175740, A175772, A175773, A175782, A181600, A204631, A225391, A225393, A225394, A225482, A225499. Sequence in context: A327161 A308450 A229123 * A329045 A329345 A054030 Adjacent sequences:  A173905 A173906 A173907 * A173909 A173910 A173911 KEYWORD sign,easy AUTHOR Roger L. Bagula, Nov 26 2010 STATUS approved

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Last modified September 22 03:54 EDT 2020. Contains 337289 sequences. (Running on oeis4.)