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 A121888 a(n) = (n^6 - 126*n^5 + 6217*n^4 - 153066*n^3 + 1987786*n^2 - 13055316*n + 34747236)/36. 1
 965201, 653687, 429409, 272563, 166693, 98321, 56597, 32969, 20873, 15443, 13241, 12007, 10429, 7933, 4493, 461, -3583, -6961, -9007, -9157, -7019, -2423, 4549, 13553, 23993, 35051, 45737, 54959, 61613, 64693, 63421, 57397, 46769, 32423, 16193, 1091, -8443, -6271, 15733, 67993, 163561, 318467 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS Prime generating polynomial found by Jaroslaw Wroblewski and Jean-Charles Meyrignac. The first 55 absolute values (n=0..54) are primes. LINKS G. C. Greubel, Table of n, a(n) for n = 0..1000 Ed Pegg Jr., Prime generating polynomial [Broken link] Index entries for linear recurrences with constant coefficients, signature (7,-21,35,-35,21,-7,1). FORMULA From G. C. Greubel, Oct 07 2019: (Start) G.f.: (965201 - 6102720*x + 16122821*x^2 - 22787908*x^3 + 18179331*x^4 - 7764198*x^5 + 1387493*x^6)/(1-x)^7. E.g.f.: (34747236 - 11214504*x + 1570248*x^2 - 118824*x^3 + 5022*x^4 -   111*x^5 + x^6)*exp(x)/36. (End) MAPLE seq((n^6 - 126*n^5 + 6217*n^4 - 153066*n^3 + 1987786*n^2 - 13055316*n + 34747236)/36, n=0..30); # G. C. Greubel, Oct 07 2019 MATHEMATICA Table[(n^6 -126n^5 +6217n^4 -153066n^3 +1987786n^2 -13055316n +34747236)/36, {n, 0, 30}] (* modified by G. C. Greubel, Oct 07 2019 *) PROG (PARI) vector(30, n, my(m=n-1); (m^6 - 126*m^5 + 6217*m^4 - 153066*m^3 + 1987786*m^2 - 13055316*m + 34747236)/36) \\ G. C. Greubel, Oct 07 2019 (MAGMA) [(n^6 - 126*n^5 + 6217*n^4 - 153066*n^3 + 1987786*n^2 - 13055316*n + 34747236)/36: n in [0..30]]; // G. C. Greubel, Oct 07 2019 (Sage) [(n^6 - 126*n^5 + 6217*n^4 - 153066*n^3 + 1987786*n^2 - 13055316*n + 34747236)/36 for n in (0..30)] # G. C. Greubel, Oct 07 2019 (GAP) List([0..30], n-> (n^6 - 126*n^5 + 6217*n^4 - 153066*n^3 + 1987786*n^2 - 13055316*n + 34747236)/36); # G. C. Greubel, Oct 07 2019 CROSSREFS Sequence in context: A083609 A093216 A272555 * A178292 A237337 A230030 Adjacent sequences:  A121885 A121886 A121887 * A121889 A121890 A121891 KEYWORD sign,changed AUTHOR Roger L. Bagula, Aug 31 2006 EXTENSIONS Edited by N. J. A. Sloane, Sep 05 2006 Offset corrected by G. C. Greubel, Oct 07 2019 STATUS approved

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Last modified October 15 13:38 EDT 2019. Contains 328030 sequences. (Running on oeis4.)