The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A021003 a(n) = (n/2)*(n^4+1). 5
 0, 1, 17, 123, 514, 1565, 3891, 8407, 16388, 29529, 50005, 80531, 124422, 185653, 268919, 379695, 524296, 709937, 944793, 1238059, 1600010, 2042061, 2576827, 3218183, 3981324, 4882825, 5940701, 7174467, 8605198, 10255589, 12150015 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS Magic constant for n X n X n X n hypercube (magic hypercube may not exist). LINKS Vincenzo Librandi, Table of n, a(n) for n = 0..595 Eric Weisstein's World of Mathematics, Magic Constant. Eric Weisstein's World of Mathematics, Magic Tesseract Index entries for linear recurrences with constant coefficients, signature (6, -15, 20, -15, 6, -1). FORMULA a(0)=0, a(1)=1, a(2)=17, a(3)=123, a(4)=514, a(5)=1565, a(n)=6*a(n-1)- 15*a(n-2)+20*a(n-3)-15*a(n-4)+6*a(n-5)-a(n-6). - Harvey P. Dale, Dec 18 2011 a(n) = -a(-n) for all n in Z. - Michael Somos, Jul 11 2017 MATHEMATICA Table[(n(n^4+1))/2, {n, 0, 40}] (* or *) LinearRecurrence[ {6, -15, 20, -15, 6, -1}, {0, 1, 17, 123, 514, 1565}, 40] (* Harvey P. Dale, Dec 18 2011 *) PROG (Magma) [(n/2)*(n^4+1): n in [0..50]]; // Vincenzo Librandi, Apr 29 2011 (PARI) {a(n) = (n^5 + n) / 2}; /* Michael Somos, Jul 11 2017 */ CROSSREFS Cf. A027441, A006003, A000217. Sequence in context: A108682 A031213 A196145 * A196313 A196286 A196336 Adjacent sequences: A021000 A021001 A021002 * A021004 A021005 A021006 KEYWORD nonn,easy AUTHOR Arlin Anderson (starship1(AT)gmail.com) 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 September 14 21:48 EDT 2024. Contains 375929 sequences. (Running on oeis4.)