A034517 Sum of n-th powers of divisors of 10.

4, 18, 130, 1134, 10642, 103158, 1015690, 10078254, 100390882, 1001953638, 10009766650, 100048830174, 1000244144722, 10001220711318, 100006103532010, 1000030517610894, 10000152587956162, 100000762939584198, 1000003814697527770, 10000019073486852414

Offset

0,1

Links

T. D. Noe, Table of n, a(n) for n=0..200

Index entries for linear recurrences with constant coefficients, signature (18,-97,180,-100).

Formula

G.f.: -2*(90*x^3-97*x^2+27*x-2) / ((x-1)*(2*x-1)*(5*x-1)*(10*x-1)). - Colin Barker, Apr 20 2014

Mathematica

With[{dt = Divisors[10]}, Table[Total[dt^n], {n, 0, 20}]] (* Harvey P. Dale, Feb 02 2011 *)
Total[#^Range[0, 20]&/@Divisors[10]] (* Vincenzo Librandi, Apr 17 2014 *)
DivisorSigma[Range[0, 20], 10] (* Harvey P. Dale, May 26 2019 *)

Prog

(Sage) [sigma(10, n)for n in range(0, 18)] # Zerinvary Lajos, Jun 04 2009
(PARI) a(n)=sigma(10, n) \\ Charles R Greathouse IV, May 16 2011
(Magma) [DivisorSigma(n, 10): n in [0..20]]; // Vincenzo Librandi, Apr 17 2014

Crossrefs

Sequence in context: A291335 A158341 A144272 * A294462 A194559 A356542

Adjacent sequences: A034514 A034515 A034516 * A034518 A034519 A034520

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

More terms from Colin Barker, Apr 20 2014

Status

approved