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A016750 a(n) = (2*n)^10. 2
0, 1024, 1048576, 60466176, 1073741824, 10000000000, 61917364224, 289254654976, 1099511627776, 3570467226624, 10240000000000, 26559922791424, 63403380965376, 141167095653376, 296196766695424, 590490000000000, 1125899906842624, 2064377754059776, 3656158440062976 (list; graph; refs; listen; history; text; internal format)
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

G.f.: -1024*x*(1+x)*(x^8 + 1012*x^7 + 46828*x^6 + 408364*x^5 + 901990*x^4 + 408364*x^3 + 46828*x^2 + 1012*x + 1)/(x-1)^11. - R. J. Mathar, Jul 07 2017

From Amiram Eldar, Oct 11 2020: (Start)

Sum_{n>=1} 1/a(n) = Pi^10/95800320.

Sum_{n>=1} (-1)^(n+1)/a(n) = 73*Pi^10/7007109120. (End)

MAPLE

A016750:=n->(2*n)^10: seq(A016750(n), n=0..30); # Wesley Ivan Hurt, Sep 15 2018

MATHEMATICA

Table[(2*n)^10, {n, 0, 30}] (* G. C. Greubel, Sep 15 2018 *)

LinearRecurrence[{11, -55, 165, -330, 462, -462, 330, -165, 55, -11, 1}, {0, 1024, 1048576, 60466176, 1073741824, 10000000000, 61917364224, 289254654976, 1099511627776, 3570467226624, 10240000000000}, 30] (* Harvey P. Dale, May 11 2022 *)

PROG

(Magma) [(2*n)^10: n in [0..20]]; // Vincenzo Librandi, Sep 05 2011

(PARI) vector(30, n, n--; (2*n)^10) \\ G. C. Greubel, Sep 15 2018

CROSSREFS

Cf. A016762.

Sequence in context: A229104 A223200 A017573 * A223879 A223804 A223582

Adjacent sequences: A016747 A016748 A016749 * A016751 A016752 A016753

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified November 30 19:14 EST 2022. Contains 358453 sequences. (Running on oeis4.)