A133072 a(n) = n^5 + n^3 - n^2.

0, 1, 36, 261, 1072, 3225, 7956, 17101, 33216, 59697, 100900, 162261, 250416, 373321, 540372, 762525, 1052416, 1424481, 1895076, 2482597, 3207600, 4092921, 5163796, 6447981, 7975872, 9780625, 11898276, 14367861, 17231536, 20534697, 24326100, 28657981, 33586176, 39170241, 45473572

Offset

0,3

Comments

Exponents are the prime numbers in decreasing order.

Links

G. C. Greubel, Table of n, a(n) for n = 0..1000

Formula

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

G.f.: x*(1 + 30*x + 60*x^2 + 26*x^3 + 3*x^4)/(1-x)^6. - R. J. Mathar, Nov 14 2007

Example

a(7)=17101 because 7^5=16807, 7^3=343, 7^2=49 and we can write 16807+343-49=17101.

Mathematica

Table[n^5 + n^3 - n^2, {n, 0, 50}] (* G. C. Greubel, Oct 20 2017 *)

Prog

(Magma) [n^5+n^3-n^2: n in [0..50]]; // Vincenzo Librandi, Dec 15 2010
(PARI) for(n=0, 50, print1(n^5 + n^3 - n^2, ", ")) \\ G. C. Greubel, Oct 20 2017

Crossrefs

Cf. A000290, A000578, A000584, A011379, A045991, A100019.

Cf. A133070, A133071, A133073.

Sequence in context: A017342 A341544 A115332 * A115223 A135181 A220159

Adjacent sequences: A133069 A133070 A133071 * A133073 A133074 A133075

Keyword

nonn

Author

Omar E. Pol, Nov 01 2007

Extensions

More terms from Vincenzo Librandi, Dec 15 2010

Status

approved