The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A121672 Real part of (n + i)^5. 3
 0, -4, -38, -12, 404, 1900, 5646, 13412, 27688, 51804, 90050, 147796, 231612, 349388, 510454, 725700, 1007696, 1370812, 1831338, 2407604, 3120100, 3991596, 5047262, 6314788, 7824504, 9609500, 11705746, 14152212, 16990988, 20267404, 24030150 (list; graph; refs; listen; history; text; internal format)
 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 Cf. A121671, A080663, A121670. Sequence in context: A144991 A073237 A218334 * A020205 A265437 A003633 Adjacent sequences: A121669 A121670 A121671 * A121673 A121674 A121675 KEYWORD sign,easy AUTHOR Gary W. Adamson, Aug 14 2006 EXTENSIONS Corrected and extended by Harvey P. Dale, Mar 01 2012 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified May 29 18:36 EDT 2024. Contains 372952 sequences. (Running on oeis4.)