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A241032 Sum of n-th powers of divisors of 30. 2
8, 72, 1300, 31752, 872644, 25170552, 741453700, 22051219752, 658764967684, 19722455410392, 591076720682500, 17723450167663752, 531571748759349124, 15945186209351359032, 478326193010497869700, 14349345894391097803752 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (72,-1942,25992,-190081,779760,-1747800,1944000,-810000).

FORMULA

G.f.: (8 - 504*x + 11652*x^2 - 129960*x^3 + 760324*x^4 - 2339280* x^5 + 3495600*x^6 - 1944000*x^7) / ((1 - x)*(1 - 2*x)*(1 - 3*x)*(1 - 5*x)*(1 - 6*x)*(1 - 10*x)*(1 - 15*x)*(1 - 30*x)).

a(n) = (1 + 2^n)*(1 + 3^n)*(1 + 5^n).

MATHEMATICA

Total[#^Range[0, 20] & /@ Divisors[30]]

PROG

(MAGMA) [DivisorSigma(n, 30): n in [0..20]];

CROSSREFS

Cf. A018255 (divisors of 30).

Cf. similar sequence listed in A241029.

Sequence in context: A111812 A138433 A242597 * A001799 A205505 A058068

Adjacent sequences:  A241029 A241030 A241031 * A241033 A241034 A241035

KEYWORD

nonn,easy

AUTHOR

Vincenzo Librandi, Apr 17 2014

STATUS

approved

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Last modified September 24 07:28 EDT 2020. Contains 337317 sequences. (Running on oeis4.)