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A024078 a(n) = 7^n - n^3. 2
1, 6, 41, 316, 2337, 16682, 117433, 823200, 5764289, 40352878, 282474249, 1977325412, 13841285473, 96889008210, 678223070105, 4747561506568, 33232930565505, 232630513982294, 1628413597904617, 11398895185366284, 79792266297604001, 558545864083274746 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..500

Index entries for linear recurrences with constant coefficients, signature (11,-34,46,-29,7).

FORMULA

From Colin Barker, Oct 05 2018: (Start)

G.f.: (1 + x)*(1 - 6*x + 15*x^2 + 8*x^3) / ((1 - x)^4*(1 - 7*x)).

a(n) = 11*a(n-1) - 34*a(n-2) + 46*a(n-3) - 29*a(n-4) + 7*a(n-5) for n>4.

(End)

PROG

(MAGMA) [7^n-n^3: n in [0..25]]; // Vincenzo Librandi, Jul 03 2011

(PARI) Vec((1 + x)*(1 - 6*x + 15*x^2 + 8*x^3) / ((1 - x)^4*(1 - 7*x)) + O(x^30)) \\ Colin Barker, Oct 05 2018

CROSSREFS

Sequence in context: A077147 A100770 A084397 * A095177 A199553 A225031

Adjacent sequences:  A024075 A024076 A024077 * A024079 A024080 A024081

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified December 6 03:33 EST 2021. Contains 349562 sequences. (Running on oeis4.)