OFFSET
0,1
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..10000
Index entries for linear recurrences with constant coefficients, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).
FORMULA
G.f.: -9765625*(x^10 + 59038*x^9 + 9116141*x^8 + 178300904*x^7 + 906923282*x^6 + 1527092468*x^5 + 906923282*x^4 + 178300904*x^3 + 9116141*x^2 + 59038*x + 1)/(x-1)^11. - Colin Barker, Nov 14 2012
From Amiram Eldar, Apr 18 2023: (Start)
a(n) = A017329(n)^10.
a(n) = 5^10 * A016762(n).
Sum_{n>=0} 1/a(n) = 31*Pi^10/28350000000000. (End)
MATHEMATICA
(10 Range[0, 20]+5)^10 (* or *) LinearRecurrence[{11, -55, 165, -330, 462, -462, 330, -165, 55, -11, 1}, {9765625, 576650390625, 95367431640625, 2758547353515625, 34050628916015625, 253295162119140625, 1346274334462890625, 5631351470947265625, 19687440434072265625, 59873693923837890625, 162889462677744140625}, 20] (* Harvey P. Dale, Jul 18 2021 *)
PROG
(Magma) [(10*n+5)^10: n in [0..10]]; // Vincenzo Librandi, Aug 02 2011
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved