A017338 a(n) = (10*n + 5)^10.

9765625, 576650390625, 95367431640625, 2758547353515625, 34050628916015625, 253295162119140625, 1346274334462890625, 5631351470947265625, 19687440434072265625, 59873693923837890625, 162889462677744140625, 404555773570791015625, 931322574615478515625

Offset

0,1

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.: -9765625*(x^10 + 59038*x^9 + 9116141*x^8 + 178300904*x^7 + 906923282*x^6 + 1527092468*x^5 + 906923282*x^4 + 178300904*x^3 + 9116141*x^2 + 59038*x + 1)/(x-1)^11. - Colin Barker, Nov 14 2012

From Amiram Eldar, Apr 18 2023: (Start)

a(n) = A017329(n)^10.

a(n) = 5^10 * A016762(n).

Sum_{n>=0} 1/a(n) = 31*Pi^10/28350000000000. (End)

Mathematica

(10 Range[0, 20]+5)^10 (* or *) LinearRecurrence[{11, -55, 165, -330, 462, -462, 330, -165, 55, -11, 1}, {9765625, 576650390625, 95367431640625, 2758547353515625, 34050628916015625, 253295162119140625, 1346274334462890625, 5631351470947265625, 19687440434072265625, 59873693923837890625, 162889462677744140625}, 20] (* Harvey P. Dale, Jul 18 2021 *)

Prog

(Magma) [(10*n+5)^10: n in [0..10]]; // Vincenzo Librandi, Aug 02 2011

Crossrefs

Cf. A016762, A017329.

Sequence in context: A017050 A017134 A017230 * A017458 A017590 A234057

Adjacent sequences: A017335 A017336 A017337 * A017339 A017340 A017341

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved