login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A134632 5*n^5 + 3*n^3 - 2*n^2. Coefficients and exponents are the prime numbers in decreasing order. 1
0, 6, 176, 1278, 5280, 15950, 39456, 84966, 165248, 297270, 502800, 809006, 1249056, 1862718, 2696960, 3806550, 5254656, 7113446, 9464688, 12400350, 16023200, 20447406, 25799136, 32217158, 39853440, 48873750, 59458256, 71802126, 86116128, 102627230, 121579200, 143233206, 167868416, 195782598, 227292720 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

FORMULA

a(n) = 5*n^5 + 3*n^3 - 2*n^2.

G.f.: 2x*(3+70x+156x^2+66x^3+5x^4)/(1-x)^6. - R. J. Mathar, Nov 14 2007

EXAMPLE

a(4)=5280 because 4^5=1024, 5*1024=5120, 4^3=64, 3*64=192, 4^2=16, 2*16=32 and we can write 5120+192-32=5280.

MAPLE

A134632:=n->5*n^5 + 3*n^3 - 2*n^2; seq(A134632(n), n=0..50); # Wesley Ivan Hurt, May 21 2014

MATHEMATICA

CoefficientList[Series[2 x (3 + 70 x + 156 x^2 + 66 x^3 + 5 x^4)/(1 - x)^6, {x, 0, 50}], x] (* Vincenzo Librandi, May 21 2014 *)

PROG

(MAGMA)[5*n^5+3*n^3-2*n^2: n in [0..50]]; // Vincenzo Librandi, Dec 14 2010

CROSSREFS

Cf. A000290, A000578, A000584, A045991, A100019, A133072.

Sequence in context: A055165 A318538 A071095 * A024277 A012177 A012227

Adjacent sequences:  A134629 A134630 A134631 * A134633 A134634 A134635

KEYWORD

nonn,easy

AUTHOR

Omar E. Pol, Nov 04 2007

EXTENSIONS

More terms from Vincenzo Librandi, Dec 14 2010

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 15 05:43 EDT 2019. Contains 328026 sequences. (Running on oeis4.)