OFFSET
0,1
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..2000
Index entries for linear recurrences with constant coefficients, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).
FORMULA
From Wesley Ivan Hurt, Aug 22 2016: (Start)
G.f.: 59049*(1 + 59038*x + 9116141*x^2 + 178300904*x^3 + 906923282*x^4 + 1527092468*x^5 + 906923282*x^6 + 178300904*x^7 + 9116141*x^8 + 59038*x^9 + x^10)/(1-x)^11.
a(n) = 11*a(n-1) - 55*a(n-2) + 165*a(n-3) - 330*a(n-4) + 462*a(n-5) - 462*a(n-6) + 330*a(n-7) - 165*a(n-8) + 55*a(n-9) - 11*a(n-10) + a(n-11) for n>10.
From Amiram Eldar, Mar 30 2022: (Start)
a(n) = 3^10*A016762(n).
Sum_{n>=0} 1/a(n) = 31*Pi^10/171421608960. (End)
MAPLE
MATHEMATICA
(6 Range[0, 20] + 3)^10 (* Wesley Ivan Hurt, Aug 22 2016 *)
PROG
(Magma) [(6*n+3)^10: n in [0..20]]; // Vincenzo Librandi, May 06 2011
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
STATUS
approved