OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (7,-21,35,-35,21,-7,1).
FORMULA
a(n) = 7*a(n-1) - 21*a(n-2) + 35*a(n-3) - 35*a(n-4) + 21*a(n-5) - 7*a(n-6) + a(n-7). - Harvey P. Dale, Oct 14 2012
From Amiram Eldar, Jul 07 2022: (Start)
Sum_{n>=0} 1/a(n) = Pi^6/61440. (End)
MATHEMATICA
(4*Range[0, 20]+2)^6 (* or *) LinearRecurrence[{7, -21, 35, -35, 21, -7, 1}, {64, 46656, 1000000, 7529536, 34012224, 113379904, 308915776}, 20] (* Harvey P. Dale, Oct 14 2012 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved