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
KEYWORD
nonn,easy
AUTHOR
Arlin Anderson (starship1(AT)gmail.com)
STATUS
approved