OFFSET
0,2
LINKS
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). - Wesley Ivan Hurt, Apr 12 2023
From Amiram Eldar, Apr 21 2023: (Start)
a(n) = A016813(n)^5.
Sum_{n>=0} 1/a(n) = 5*Pi^5/3072 + 31*zeta(5)/64. (End)
MATHEMATICA
Table[(4n+1)^5, {n, 0, 100}] (* Mohammad K. Azarian, Jun 18 2016 *)
LinearRecurrence[{6, -15, 20, -15, 6, -1}, {1, 3125, 59049, 371293, 1419857, 4084101}, 30] (* Harvey P. Dale, Oct 02 2022 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved