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 A147567 a(n) = a(n-4) - a(n-8). 0
 2, 1, 3, 4, 1, 2, -1, 3, -1, 1, -4, -1, -2, -1, -3, -4, -1, -2, 1, -3, 1, -1, 4, 1, 2, 1, 3, 4, 1, 2, -1, 3, -1, 1, -4, -1, -2, -1, -3, -4, -1, -2, 1, -3, 1, -1, 4, 1, 2, 1, 3, 4, 1, 2, -1, 3, -1, 1, -4, -1, -2, -1, -3, -4, -1, -2, 1, -3, 1, -1, 4, 1, 2, 1, 3, 4, 1, 2, -1, 3, -1, 1, -4, -1, -2 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS Periodic with period 24. - Joerg Arndt, Apr 11 2013 LINKS Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 1, 0, 0, 0, -1). FORMULA G.f.: (2+x+3*x^2+4*x^3-x^4+x^5-4*x^6-x^7)/(1-x^4+x^8). - Colin Barker, Apr 11 2013 MATHEMATICA Clear[M, v, n]; M[0] = {{0, 1, 0, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}, {1, 0, 0, 1}}; M[1] = {{0, 1, 0, 0}, {0, 0, 1, 0}, {0, 0, 0, 1}, {1, -1, 0, 0}}; v[0] = {2, 1, 3, 4}; v[n_] := v[n] = M[Mod[n, 2]].v[n - 1]; Table[v[n][[1]], {n, 0, 100}] LinearRecurrence[{0, 0, 0, 1, 0, 0, 0, -1}, {2, 1, 3, 4, 1, 2, -1, 3}, 85] (* Ray Chandler, Aug 27 2015 *) PROG (PARI) my(x='x+O('x^85)); Vec((2+x+3*x^2+4*x^3-x^4+x^5-4*x^6-x^7)/(1-x^4+x^8)) \\ G. C. Greubel, Apr 24 2019 (MAGMA) R:=PowerSeriesRing(Integers(), 85); Coefficients(R!( (2+x+ 3*x^2+4*x^3-x^4+x^5-4*x^6-x^7)/(1-x^4+x^8) )); // G. C. Greubel, Apr 24 2019 (Sage) ((2+x+3*x^2+4*x^3-x^4+x^5-4*x^6-x^7)/(1-x^4+x^8)).series(x, 85).coefficients(x, sparse=False) # G. C. Greubel, Apr 24 2019 CROSSREFS Sequence in context: A322081 A279396 A161224 * A247045 A084579 A276237 Adjacent sequences:  A147564 A147565 A147566 * A147568 A147569 A147570 KEYWORD sign,easy AUTHOR Roger L. Bagula, Nov 07 2008 EXTENSIONS New name from Joerg Arndt, Apr 11 2013 STATUS approved

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Last modified May 27 02:54 EDT 2019. Contains 323597 sequences. (Running on oeis4.)