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A008455
11th powers: a(n) = n^11.
38
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
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
KEYWORD
nonn,easy,mult
AUTHOR
STATUS
approved