login
A016955
a(n) = (6*n + 3)^11.
2
177147, 31381059609, 8649755859375, 350277500542221, 5559060566555523, 50542106513726817, 317475837322472439, 1532278301220703125, 6071163615208263051, 20635899893042801193, 62050608388552823487, 168787390185178426269, 422351360321044921875, 984770902183611232881
OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (12,-66,220,-495,792,-924,792,-495,220,-66,12,-1).
FORMULA
From Amiram Eldar, Mar 30 2022: (Start)
a(n) = A016945(n)^11.
a(n) = 3^11*A016763(n).
Sum_{n>=0} 1/a(n) = 2047*zeta(11)/362797056.
Sum_{n>=0} (-1)^n/a(n) = 50521*Pi^11/2633035913625600. (End)
MATHEMATICA
a[n_] := (6*n + 3)^11; Array[a, 50, 0] (* Amiram Eldar, Mar 30 2022 *)
PROG
(Magma) [(6*n+3)^11: n in [0..20]]; // Vincenzo Librandi, May 06 2011
KEYWORD
nonn,easy
STATUS
approved