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A016746
a(n) = (2*n)^6.
2
0, 64, 4096, 46656, 262144, 1000000, 2985984, 7529536, 16777216, 34012224, 64000000, 113379904, 191102976, 308915776, 481890304, 729000000, 1073741824, 1544804416, 2176782336, 3010936384, 4096000000, 5489031744, 7256313856, 9474296896, 12230590464, 15625000000
OFFSET
0,2
FORMULA
G.f.: 64*x*(1+x)*(x^4 + 56*x^3 + 246*x^2 + 56*x + 1) / (1-x)^7. - R. J. Mathar, May 01 2015
E.g.f.: 64*x*(1 + 31*x + 90*x^2 + 65*x^3 + 15*x^4 + x^5)*exp(x). - G. C. Greubel, Sep 15 2018
From Amiram Eldar, Oct 10 2020: (Start)
Sum_{n>=1} 1/a(n) = Pi^6/60480.
Sum_{n>=1} (-1)^(n+1)/a(n) = 31*Pi^6/1935360. (End)
MAPLE
A016746:=n->(2*n)^6: seq(A016746(n), n=0..50); # Wesley Ivan Hurt, Sep 15 2018
MATHEMATICA
Table[(2*n)^6, {n, 0, 30}] (* G. C. Greubel, Sep 15 2018 *)
PROG
(Magma) [(2*n)^6: n in [0..30]]; // Vincenzo Librandi, Sep 05 2011
(PARI) vector(30, n, n--; (2*n)^6) \\ G. C. Greubel, Sep 15 2018
CROSSREFS
Cf. A016758.
Sequence in context: A324491 A107627 A017571 * A189268 A223673 A189621
KEYWORD
nonn,easy
STATUS
approved