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Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!) A034488 Sum of n-th powers of divisors of 6. 6 4, 12, 50, 252, 1394, 8052, 47450, 282252, 1686434, 10097892, 60526250, 362976252, 2177317874, 13062296532, 78368963450, 470199366252, 2821153019714, 16926788715972, 101560344351050, 609360902796252, 3656161927895954, 21936961102828212 (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 (12,-47,72,-36). FORMULA a(n) = 1^n + 2^n + 3^n + 6^n. G.f.: -2*(36*x^3 - 47*x^2 + 18*x - 2) / ((x - 1)*(2*x - 1)*(3*x - 1)*(6*x - 1)). - Colin Barker, Apr 20 2014 MATHEMATICA a[n_] := (2^n + 1)*(3^n + 1); Table[a[n], {n, 0, 19}] (* Zerinvary Lajos, Mar 25 2007 *) Total[#^Range[0, 20]&/@Divisors[6]] (* Vincenzo Librandi, Apr 17 2014 *) PROG (Sage) [sigma(6, n)for n in range(0, 20)] # Zerinvary Lajos, Jun 04 2009 (PARI) a(n)=6^n+3^n+2^n+1 \\ Charles R Greathouse IV, Apr 28, 2011 (Magma) [DivisorSigma(n, 6): n in [0..20]]; // Vincenzo Librandi, Apr 17 2014 CROSSREFS Sequence in context: A149395 A149396 A149397 * A149398 A149399 A149400 Adjacent sequences: A034485 A034486 A034487 * A034489 A034490 A034491 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 April 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)