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A016784
a(n) = (3*n+1)^8.
6
1, 65536, 5764801, 100000000, 815730721, 4294967296, 16983563041, 54875873536, 152587890625, 377801998336, 852891037441, 1785793904896, 3512479453921, 6553600000000, 11688200277601, 20047612231936, 33232930569601, 53459728531456, 83733937890625
OFFSET
0,2
LINKS
Index entries for linear recurrences with constant coefficients, signature (9,-36,84,-126,126,-84,36,-9,1).
FORMULA
a(n)= A001016(A016777(n)). - Michel Marcus, Jun 15 2016
G.f.: (1 + 65527*x + 5175013*x^2 + 50476003*x^3 + 117758659*x^4 + 77404933*x^5 + 13270807*x^6 + 388321*x^7 + 256*x^8)/(1 - x)^9. - Ilya Gutkovskiy, Jun 16 2016
Sum_{n>=0} 1/a(n) = PolyGamma(7, 1/3)/33067440. - Amiram Eldar, Mar 29 2022
MATHEMATICA
Table[(3n+1)^8, {n, 0, 100}] (* Mohammad K. Azarian, Jun 15 2016 *)
PROG
(Magma) [(3*n+1)^8 : n in [0..20]]; // Vincenzo Librandi, Sep 28 2011
(Maxima) A016784(n):=(3*n+1)^8$
makelist(A016784(n), n, 0, 20); /* Martin Ettl, Nov 12 2012 */
KEYWORD
nonn,easy
AUTHOR
STATUS
approved