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A034517 Sum of n-th powers of divisors of 10. 5
4, 18, 130, 1134, 10642, 103158, 1015690, 10078254, 100390882, 1001953638, 10009766650, 100048830174, 1000244144722, 10001220711318, 100006103532010, 1000030517610894, 10000152587956162, 100000762939584198, 1000003814697527770, 10000019073486852414 (list; graph; refs; listen; history; text; internal format)
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 *)

PROG

(Sage) [sigma(10, n)for n in xrange(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 A065857

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

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Last modified January 16 15:53 EST 2019. Contains 319195 sequences. (Running on oeis4.)