A133062 a(n) = 5*p^5 - 3*p^3 + 2*p^2 with p = prime(n).

144, 1152, 15300, 83104, 801504, 1850212, 7085124, 12360640, 32146272, 102484260, 143058304, 346570564, 579077604, 734807392, 1146417984, 2090536452, 3574012320, 4222308004, 6749732224, 9020083104, 10364201572, 15383815360, 19693501632, 27918198180, 42933982084, 52547432004

Offset

1,1

Links

Table of n, a(n) for n=1..26.

Formula

a(n) = 5*A050997(n) - 3*A030078(n) + 2*A001248(n) = A134631(A000040(n)).

Example

a(4)=83104 because the 4th prime is 7, 5*7^5=84035, 3*7^3=1029, 2*7^2=98 and we can write 84035 - 1029 + 98 = 83104.

Mathematica

5#^5-3#^3+2#^2&/@Prime[Range[30]] (* Harvey P. Dale, Mar 07 2017 *)

Prog

(Magma) [5*p^5-3*p^3+2*p^2: p in PrimesUpTo(200)] // Vincenzo Librandi, Dec 15 2010

Crossrefs

Cf. A045991, A133071.

Sequence in context: A337794 A235568 A222349 * A211473 A203826 A261655

Adjacent sequences: A133059 A133060 A133061 * A133063 A133064 A133065

Keyword

nonn

Author

Omar E. Pol, Nov 05 2007

Extensions

More terms from Vincenzo Librandi, Dec 15 2010

Status

approved