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A133072 a(n) = n^5 + n^3 - n^2. 6
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 (list; graph; refs; listen; history; text; internal format)
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: A247840 A017342 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

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Last modified June 16 10:03 EDT 2019. Contains 324152 sequences. (Running on oeis4.)