A016786 - OEIS

A016786

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

1, 1048576, 282475249, 10000000000, 137858491849, 1099511627776, 6131066257801, 26559922791424, 95367431640625, 296196766695424, 819628286980801, 2064377754059776, 4808584372417849, 10485760000000000, 21611482313284249, 42420747482776576, 79792266297612001

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OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..10000

Index entries for linear recurrences with constant coefficients, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).

FORMULA

a(n) = A008454(A016777(n)). - Michel Marcus, Jun 15 2016

Sum_{n>=0} 1/a(n) = PolyGamma(9, 1/3)/21427701120. - Amiram Eldar, Mar 29 2022

MATHEMATICA

Table[(3n+1)^10, {n, 0, 100}] (* Mohammad K. Azarian, Jun 15 2016 *)

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 *)

PROG

(Magma) [(3*n+1)^10: n in [0..20]]; // Vincenzo Librandi, Sep 29 2011

CROSSREFS

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

Sequence in context: A223696 A069281 A224804 * A016810 A016906 A017704

Adjacent sequences: A016783 A016784 A016785 * A016787 A016788 A016789

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved