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A016786 a(n) = (3*n+1)^10. 4

%I #23 Mar 29 2022 03:00:31

%S 1,1048576,282475249,10000000000,137858491849,1099511627776,

%T 6131066257801,26559922791424,95367431640625,296196766695424,

%U 819628286980801,2064377754059776,4808584372417849,10485760000000000,21611482313284249,42420747482776576,79792266297612001

%N a(n) = (3*n+1)^10.

%H Vincenzo Librandi, <a href="/A016786/b016786.txt">Table of n, a(n) for n = 0..10000</a>

%H <a href="/index/Rec#order_11">Index entries for linear recurrences with constant coefficients</a>, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).

%F a(n) = A008454(A016777(n)). - _Michel Marcus_, Jun 15 2016

%F Sum_{n>=0} 1/a(n) = PolyGamma(9, 1/3)/21427701120. - _Amiram Eldar_, Mar 29 2022

%t Table[(3n+1)^10,{n,0,100}] (* _Mohammad K. Azarian_, Jun 15 2016 *)

%t LinearRecurrence[{11,-55,165,-330,462,-462,330,-165,55,-11,1},{1,1048576,282475249,10000000000,137858491849,1099511627776,6131066257801,26559922791424,95367431640625,296196766695424,819628286980801},20] (* _Harvey P. Dale_, May 14 2019 *)

%o (Magma) [(3*n+1)^10: n in [0..20]]; // _Vincenzo Librandi_, Sep 29 2011

%Y Cf. A008454, A016777, A016778, A016779, A016780, A016781, A016782, A016783, A016784, A016785.

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_.

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Last modified March 28 12:26 EDT 2024. Contains 371254 sequences. (Running on oeis4.)