OFFSET
0,1
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..10000
Index entries for linear recurrences with constant coefficients, signature (8,-28,56,-70,56,-28,8,-1).
FORMULA
G.f.: 78125*(x+1)*(x^6 + 2178*x^5 + 58479*x^4 + 201244*x^3 + 58479*x^2 + 2178*x + 1)/(x-1)^8. - Colin Barker, Nov 13 2012
From Amiram Eldar, Apr 18 2023: (Start)
a(n) = A017329(n)^7.
a(n) = 5^7 * A016759(n).
Sum_{n>=0} 1/a(n) = 127*zeta(7)/10000000.
Sum_{n>=0} (-1)^n/a(n) = 61*Pi^7/14400000000. (End)
MATHEMATICA
Table[(10*n + 5)^7, {n, 0, 20}] (* Amiram Eldar, Apr 18 2023 *)
PROG
(Magma) [(10*n+5)^7: n in [0..25]]; // Vincenzo Librandi, Aug 02 2011
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved