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A084381 a(n) = n^3 + 5. 5
5, 6, 13, 32, 69, 130, 221, 348, 517, 734, 1005, 1336, 1733, 2202, 2749, 3380, 4101, 4918, 5837, 6864, 8005, 9266, 10653, 12172, 13829, 15630, 17581, 19688, 21957, 24394, 27005, 29796, 32773, 35942, 39309, 42880, 46661, 50658, 54877, 59324, 64005 (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.: (5 - 14*x + 19*x^2 - 4*x^3)/(1 - x)^4. - Vincenzo Librandi, Jun 09 2016

a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4) for n>3. - Vincenzo Librandi, Jun 09 2016

MATHEMATICA

Table[n^3 + 5, {n, 0, 60}] (* Vladimir Joseph Stephan Orlovsky, Apr 15 2011 *)

PROG

(PARI) a(n) = n^3 + 5;

(MAGMA) [n^3+5: n in [0..50]]; // Vincenzo Librandi, Jun 09 2016

CROSSREFS

Cf. A000578, A084378.

Sequence in context: A314291 A314292 A294572 * A289895 A335785 A266304

Adjacent sequences:  A084378 A084379 A084380 * A084382 A084383 A084384

KEYWORD

easy,nonn

AUTHOR

Cino Hilliard, Jun 23 2003

EXTENSIONS

Offset 0 and a(0) = 5 by Vincenzo Librandi, Jun 09 2016

STATUS

approved

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Last modified September 23 14:40 EDT 2021. Contains 347618 sequences. (Running on oeis4.)