OFFSET
0,2
COMMENTS
The companion sequence A121671 uses the operation (1 + n*i)^5.
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (6,-15,20,-15,6,-1).
FORMULA
G.f.: -2*x*(2+7*x-78*x^2+7*x^3+2*x^4)/(1-x)^6. - Bruno Berselli, Mar 01 2012
a(n) = n*(n^4-10*n^2+5). - Bruno Berselli, Mar 01 2012
a(n) = (1+n^2)^(5/2)*sin(5*arctan(n)). - Gerry Martens, Apr 06 2024
EXAMPLE
a(4) = 404 since (4 + i)^5 = (404 + 1121i) where 1121 = A121671(4).
MATHEMATICA
Re[(Range[0, 30]+I)^5] (* Harvey P. Dale, Mar 01 2012 *)
PROG
(PARI) a(n) = real((n + I)^5); \\ Michel Marcus, Dec 19 2020
CROSSREFS
KEYWORD
sign,easy
AUTHOR
Gary W. Adamson, Aug 14 2006
EXTENSIONS
Corrected and extended by Harvey P. Dale, Mar 01 2012
STATUS
approved