A131993 - OEIS

A131993

1 + prime(n) + prime(n)^2 + prime(n)^3 + prime(n)^4 + prime(n)^5.

63, 364, 3906, 19608, 177156, 402234, 1508598, 2613660, 6728904, 21243690, 29583456, 71270178, 118752606, 150508644, 234330768, 426237714, 727250580, 858672906, 1370581548, 1830004056, 2101864254, 3116505840, 3987077724

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

a(n) = 1 + A131992(n)*A000040(n).

LINKS

Ivan Panchenko, Table of n, a(n) for n = 1..1000

FORMULA

a(n) = (A030516(n) - 1)/A006093(n).

MATHEMATICA

Total[#^Range[0, 5]]&/@Prime[Range[30]] (* Harvey P. Dale, Apr 20 2011 *)

PROG

(Magma) [1+(&+[NthPrime(n)^(k): k in [1..5]]): n in [1..100]]; // Berselli - Librandi, Apr 20 2011

CROSSREFS

Cf. A050997, A008864, A060800, A131991.

Sequence in context: A203556 A038993 A068022 * A251019 A251012 A092050

Adjacent sequences: A131990 A131991 A131992 * A131994 A131995 A131996

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Aug 06 2007

STATUS

approved