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URL: https://oeis.org/A084379

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A084379
a(n) = n^3 + 17.
2
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, 64017, 68938, 74105
OFFSET
0,1
FORMULA
G.f.: (17 - 50*x + 55*x^2 - 16*x^3)/(1 - x)^4. - Vincenzo Librandi, Jun 11 2016
From Elmo R. Oliveira, Oct 17 2025: (Start)
E.g.f.: (17 + x + 3*x^2 + x^3)*exp(x).
a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4). (End)
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
Sequence in context: A241847 A295487 A308888 * A018821 A255923 A226673
KEYWORD
easy,nonn
AUTHOR
Cino Hilliard, Jun 23 2003
EXTENSIONS
a(0) = 17 by Vincenzo Librandi, Jun 11 2016
STATUS
approved