login
a(n) = 5*p^5 - 3*p^3 + 2*p^2 with p = prime(n).
0

%I #11 Sep 08 2022 08:45:31

%S 144,1152,15300,83104,801504,1850212,7085124,12360640,32146272,

%T 102484260,143058304,346570564,579077604,734807392,1146417984,

%U 2090536452,3574012320,4222308004,6749732224,9020083104,10364201572,15383815360,19693501632,27918198180,42933982084,52547432004

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

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

%e 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.

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

%o (Magma) [5*p^5-3*p^3+2*p^2: p in PrimesUpTo(200)] // _Vincenzo Librandi_, Dec 15 2010

%Y Cf. A045991, A133071.

%K nonn

%O 1,1

%A _Omar E. Pol_, Nov 05 2007

%E More terms from _Vincenzo Librandi_, Dec 15 2010