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A024068 a(n) = 6^n - n^6. 9
1, 5, -28, -513, -2800, -7849, 0, 162287, 1417472, 9546255, 59466176, 361025495, 2173796352, 13055867207, 78356634560, 470173593951, 2821093130240, 16926635307167, 101559922656192, 609359692964615 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Conjecture: satisfies a linear recurrence having signature (13, -63, 161, -245, 231, -133, 43, -6). - Harvey P. Dale, Jan 30 2019

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..200

FORMULA

From Chai Wah Wu, Jan 26 2020: (Start)

a(n) = 13*a(n-1) - 63*a(n-2) + 161*a(n-3) - 245*a(n-4) + 231*a(n-5) - 133*a(n-6) + 43*a(n-7) - 6*a(n-8) for n > 7.

G.f.: (5*x^7 + 348*x^6 + 1734*x^5 + 1545*x^4 + 5*x^3 - 30*x^2 - 8*x + 1)/((x - 1)^7*(6*x - 1)). (End)

MATHEMATICA

lst={}; Do[AppendTo[lst, 6^n-n^6], {n, 0, 5!}]; lst (* Vladimir Joseph Stephan Orlovsky, Jan 15 2009 *)

Table[6^n-n^6, {n, 0, 20}] (* Harvey P. Dale, Jan 30 2019 *)

PROG

(MAGMA) [6^n-n^6: n in [0..30]]; // Vincenzo Librandi, May 14 2011

CROSSREFS

Cf. A024012, A024026, A058794, A024040, A024054. - Vladimir Joseph Stephan Orlovsky, Jan 15 2009

Sequence in context: A171187 A057792 A174464 * A308593 A249784 A057642

Adjacent sequences:  A024065 A024066 A024067 * A024069 A024070 A024071

KEYWORD

sign

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified September 20 20:02 EDT 2020. Contains 337265 sequences. (Running on oeis4.)