A134632 5*n^5 + 3*n^3 - 2*n^2. Coefficients and exponents are the prime numbers in decreasing order.

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

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