OFFSET
0,1
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..2000
Index entries for linear recurrences with constant coefficients, signature (6,-15,20,-15,6,-1).
FORMULA
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 13 2012
From Amiram Eldar, Mar 29 2022: (Start)
a(n) = A016933(n)^5.
a(n) = 32*A016781(n).
Sum_{n>=0} 1/a(n) = Pi^5/(11664*sqrt(3)) + 121*zeta(5)/7776. (End)
MATHEMATICA
(6*Range[0, 20]+2)^5 (* or *) LinearRecurrence[{6, -15, 20, -15, 6, -1}, {32, 32768, 537824, 3200000, 11881376, 33554432}, 20] (* Harvey P. Dale, Dec 13 2012 *)
PROG
(Magma) [(6*n+2)^5: n in [0..30]]; // Vincenzo Librandi, May 04 2011
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved