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 A318197 a(n) = 2^((n - 1)*(n + 2)/2)*3^(n*(n - 1))*n^n. 4
 1, 144, 629856, 69657034752, 178523361331200000, 10072680467275913619308544, 12094526244510115670028303294529536, 301689370251168256106930569591201258430005248, 153543958878683931150976515367278080485732740052794998784, 1572290138917723454985999517360927544173903258140620787548160000000000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Discriminant of Fermat-Lucas polynomials. Fermat-Lucas polynomials are defined as F(0) = 2, F(1) = 3*x and F(n) = 3*x*F(n - 1) - 2*F(n - 2) for n > 1. REFERENCES R. Flórez, N. McAnally, and A. Mukherjees, Identities for the generalized Fibonacci polynomial, Integers, 18B (2018), Paper No. A2. R. Flórez, R. Higuita and A. Mukherjees, Characterization of the strong divisibility property for generalized Fibonacci polynomials, Integers, 18 (2018), Paper No. A14. LINKS Rigoberto Flórez, Robinson Higuita, and Alexander Ramírez, The resultant, the discriminant, and the derivative of generalized Fibonacci polynomials, arXiv:1808.01264 [math.NT], 2018. R. Flórez, R. Higuita, and A. Mukherjee, The Star of David and Other Patterns in Hosoya Polynomial Triangles, Journal of Integer Sequences, Vol. 21 (2018), Article 18.4.6. Eric Weisstein's World of Mathematics, Discriminant Eric Weisstein's World of Mathematics, Fermat-Lucas polynomials MATHEMATICA Array[2^((# - 1) (# + 2)/2)*3^(# (# - 1))*#^# &, 10] (* Michael De Vlieger, Aug 22 2018 *) PROG (PARI) apply(poldisc, Vec((2-3*x*y)/(1-3*y*x+2*x^2) - 2 + O(x^12))) \\ Andrew Howroyd, Aug 20 2018 (PARI) a(n) = 2^((n - 1)*(n + 2)/2)*3^(n*(n - 1))*n^n; \\ Andrew Howroyd, Aug 20 2018 (MAGMA) [2^((n - 1)*(n + 2) div 2)*3^(n*(n - 1))*n^n: n in [1..10]]; // Vincenzo Librandi, Aug 25 2018 CROSSREFS Cf. A137372, A193678, A007701, A007701, A193678. Sequence in context: A086778 A227652 A159436 * A193346 A003837 A013863 Adjacent sequences:  A318189 A318190 A318196 * A318198 A318199 A318200 KEYWORD nonn AUTHOR Rigoberto Florez, Aug 20 2018 STATUS approved

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Last modified November 18 01:03 EST 2018. Contains 317279 sequences. (Running on oeis4.)