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A016966 a(n) = (6*n + 4)^10. 3

%I #18 Mar 31 2022 09:26:19

%S 1048576,10000000000,1099511627776,26559922791424,296196766695424,

%T 2064377754059776,10485760000000000,42420747482776576,

%U 144555105949057024,430804206899405824,1152921504606846976,2824752490000000000,6428888932339941376,13744803133596058624

%N a(n) = (6*n + 4)^10.

%H Vincenzo Librandi, <a href="/A016966/b016966.txt">Table of n, a(n) for n = 0..1000</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 From _Amiram Eldar_, Mar 31 2022: (Start)

%F a(n) = A016957(n)^10 = A016958(n)^5 = A016961(n)^2.

%F a(n) = 2^10*A016798(n).

%F Sum_{n>=0} 1/a(n) = PolyGamma(9, 2/3)/21941965946880. (End)

%t (6Range[0,20]+4)^10 (* _Harvey P. Dale_, Feb 23 2011 *)

%o (Magma) [(6*n+4)^10: n in [0..20]]; // _Vincenzo Librandi_, May 07 2011

%Y Cf. A016798, A016957, A016958, A016959, A016960, A016961, A016962, A016963, A016964, A016965.

%Y Subsequence of A008454.

%K nonn,easy

%O 0,1

%A _N. J. A. Sloane_

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Last modified April 25 11:37 EDT 2024. Contains 371968 sequences. (Running on oeis4.)