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A084379 a(n) = n^3 + 17. 1
17, 18, 25, 44, 81, 142, 233, 360, 529, 746, 1017, 1348, 1745, 2214, 2761, 3392, 4113, 4930, 5849, 6876, 8017, 9278, 10665, 12184, 13841, 15642, 17593, 19700, 21969, 24406, 27017, 29808, 32785, 35954, 39321, 42892, 46673, 50670, 54889, 59336 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Cino Hilliard, Proof that n^3+7 <> k^2 for all integers n,k. [Broken link]

Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).

FORMULA

G.f.: (17 - 50*x + 55*x^2 - 16*x^3)/(1 - x)^4. - Vincenzo Librandi, Jun 11 2016

MATHEMATICA

Table[n^3 + 17, {n, 0, 60}] (* Vincenzo Librandi, Jun 11 2016 *)

LinearRecurrence[{4, -6, 4, -1}, {17, 18, 25, 44}, 40] (* Harvey P. Dale, Jul 03 2017 *)

PROG

(PARI) n3pm(n, m) = { for(x=1, n, y=x^3+m; print1(y", ")) }

(MAGMA) [n^3+17: n in [0..50]]; // Vincenzo Librandi, Jun 11 2016

CROSSREFS

Cf. sequence for n^3+17.

Sequence in context: A241847 A295487 A308888 * A018821 A255923 A226673

Adjacent sequences:  A084376 A084377 A084378 * A084380 A084381 A084382

KEYWORD

easy,nonn

AUTHOR

Cino Hilliard, Jun 23 2003

EXTENSIONS

Prepended a(0) = 17, Vincenzo Librandi, Jun 11 2016

STATUS

approved

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Last modified July 31 21:37 EDT 2021. Contains 346377 sequences. (Running on oeis4.)