A008455 11th powers: a(n) = n^11.

0, 1, 2048, 177147, 4194304, 48828125, 362797056, 1977326743, 8589934592, 31381059609, 100000000000, 285311670611, 743008370688, 1792160394037, 4049565169664, 8649755859375, 17592186044416, 34271896307633, 64268410079232, 116490258898219, 204800000000000

Offset

0,3

Links

T. D. Noe, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (12,-66,220,-495,792,-924,792,-495,220,-66,12,-1).

Formula

a(n) = A000584(n)*A001014(n).

Multiplicative with a(p^e) = p^(11*e). - David W. Wilson, Aug 01 2001

Totally multiplicative with a(p) = p^11 for primes p. - Jaroslav Krizek, Nov 01 2009

From Amiram Eldar, Oct 08 2020: (Start)

Sum_{n>=1} 1/a(n) = zeta(11) (A013669).

Sum_{n>=1} (-1)^(n+1)/a(n) = 1023*zeta(11)/1024. (End)

Mathematica

Table[n^11, {n, 0, 30}] (* Vincenzo Librandi, Jul 05 2014 *)

Prog

(Maxima) A008455(n):=n^11$ makelist(A008455(n), n, 0, 20); /* Martin Ettl, Dec 17 2012 */
(Magma) [n^11: n in [0..40]]; // Vincenzo Librandi, Jul 05 2014

Crossrefs

Cf. A000583, A000584, A001014, A001017, A008454, A013669.

Sequence in context: A195659 A321835 A017686 * A079395 A096963 A234740

Adjacent sequences: A008452 A008453 A008454 * A008456 A008457 A008458

Keyword

nonn,easy,mult

Author

N. J. A. Sloane.

Status

approved