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A219056 3*n^4. 5
0, 3, 48, 243, 768, 1875, 3888, 7203, 12288, 19683, 30000, 43923, 62208, 85683, 115248, 151875, 196608, 250563, 314928, 390963, 480000, 583443, 702768, 839523, 995328, 1171875, 1370928, 1594323, 1843968, 2121843, 2430000, 2770563, 3145728, 3557763, 4009008 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

a(n) = A219069(n,n) for n > 0;

a(n) = A008585(A000583(n)) = A000290(n)*A033428(n).

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1).

FORMULA

From Chai Wah Wu, Jun 22 2016: (Start)

a(n) = 5*a(n-1) - 10*a(n-2) + 10*a(n-3) - 5*a(n-4) + a(n-5) for n > 4.

G.f.: 3*x*(1 + x)*(1 + 10*x + x^2)/(1 - x)^5. (End)

E.g.f.: 3*x*(1 + 7*x + 6*x^2 + x^3)*exp(x). - G. C. Greubel, Jun 22 2016

MATHEMATICA

LinearRecurrence[{5, -10, 10, -5, 1}, {0, 3, 48, 243, 768}, 100] (* or *) Table[3*n^4, {n, 0, 50}] (* _G. Greubel_, Jun 22 2016 *)

PROG

(Haskell)

a219056 = (* 3) . (^ 4)

(Maxima) makelist(3*n^4, n, 0, 30); /* Martin Ettl, Nov 12 2012 */

CROSSREFS

Sequence in context: A208059 A162333 A003878 * A230962 A073982 A260347

Adjacent sequences:  A219053 A219054 A219055 * A219057 A219058 A219059

KEYWORD

nonn,easy

AUTHOR

Reinhard Zumkeller, Nov 11 2012

STATUS

approved

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Last modified February 23 21:23 EST 2018. Contains 299588 sequences. (Running on oeis4.)