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A034666
Sum of n-th powers of divisors of 36.
3
9, 91, 1911, 55261, 1813539, 62672701, 2214363531, 79017297541, 2832604648419, 101763873519661, 3659794373013051, 131686747008947221, 4739547370427122899, 170602660692644492221, 6141318334706291980971
OFFSET
0,1
LINKS
Index entries for linear recurrences with constant coefficients, signature (91,-3185,57065,-580398,3482388,-12326040,24766560,-25474176,10077696).
FORMULA
G.f.: -(25474176*x^8 -49533120*x^7 +36978120*x^6 -13929552*x^5 +2901990*x^4 -342390*x^3 +22295*x^2 -728*x +9) / ((x -1)*(2*x -1)*(3*x -1)*(4*x -1)*(6*x -1)*(9*x -1)*(12*x -1)*(18*x -1)*(36*x -1)). - Colin Barker, Apr 20 2014
MATHEMATICA
Total[#^Range[0, 20]&/@Divisors[36]] (* Vincenzo Librandi, Apr 17 2014 *)
DivisorSigma[Range[0, 20], 36] (* Harvey P. Dale, Dec 23 2021 *)
PROG
(Magma) [DivisorSigma(n, 36): n in [0..20]]; // Vincenzo Librandi, Apr 17 2014
CROSSREFS
Cf. A018256 (divisors of 36).
Sequence in context: A022520 A020236 A068624 * A022505 A225162 A128384
KEYWORD
nonn,easy
AUTHOR
STATUS
approved