cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

Original entry on oeis.org

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

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Author

Omar E. Pol, Nov 05 2007

Keywords

Examples

			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.
		

Crossrefs

Programs

  • Magma
    [5*p^5-3*p^3+2*p^2: p in PrimesUpTo(200)] // Vincenzo Librandi, Dec 15 2010
  • Mathematica
    5#^5-3#^3+2#^2&/@Prime[Range[30]] (* Harvey P. Dale, Mar 07 2017 *)

Formula

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

Extensions

More terms from Vincenzo Librandi, Dec 15 2010
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