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 A211607 111n^2 - 3123n + 10753. 0
 10753, 7741, 4951, 2383, 37, -2087, -3989, -5669, -7127, -8363, -9377, -10169, -10739, -11087, -11213, -11117, -10799, -10259, -9497, -8513, -7307, -5879, -4229, -2357, -263, 2053, 4591, 7351, 10333, 13537, 16963, 20611, 24481, 28573, 32887, 37423, 42181, 47161, 52363, 57787 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 REFERENCES A prime-generating quadratic: the absolute values of the terms for 0<=n<=39 are prime. LINKS Table of n, a(n) for n=0..39. Index entries for linear recurrences with constant coefficients, signature (3,-3,1). Eric Weisstein's World of Mathematics, Prime-Generating Polynomial FORMULA a(n) = 111*n^2-3123*n+10753. G.f.: -(13987*x^2-24518*x+10753)/(x-1)^3. [Colin Barker, Feb 16 2013] MAPLE proc(i) local a, n; for n from 0 to i do a:=111*n^2-3123*n+10753; if isprime(abs(a)) then print(a); fi; od; end: MATHEMATICA Table[111n^2 - 3123n + 10753, {n, 0, 39}] (* Alonso del Arte, Feb 13 2013 *) LinearRecurrence[{3, -3, 1}, {10753, 7741, 4951}, 40] (* Harvey P. Dale, Dec 04 2015 *) PROG (PARI) a(n)=111*n^2-3123*n+10753 \\ Charles R Greathouse IV, Feb 12 2013 CROSSREFS Cf. A217440, A005846, A050268, A217439, A128878. Sequence in context: A255031 A256949 A146320 * A258513 A258506 A254993 Adjacent sequences: A211604 A211605 A211606 * A211608 A211609 A211610 KEYWORD sign,easy AUTHOR Yusuf Z Gurtas, Feb 10 2013 STATUS approved

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Last modified June 4 12:12 EDT 2023. Contains 363128 sequences. (Running on oeis4.)