A241030 Sum of n-th powers of divisors of 26.

4, 42, 850, 19782, 485554, 12252702, 313742650, 8094558822, 209642795554, 5440108178862, 141304954146250, 3672136647383862, 95452254746808754, 2481455748310337022, 64513912079682866650, 1677310528178740048902, 43609408316038057305154

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (42,-457,1092,-676).

Formula

G.f.: 2*(2 - 63*x + 457*x^2 - 546*x^3)/((1 - x)*(1 - 2*x)*(1 - 13*x)*(1 - 26*x)).

a(n) = (1 + 2^n)*(1 + 13^n).

Mathematica

Total[#^Range[0, 20] & /@ Divisors[26]] (* or *) Table[(1 + 2^n) (1 + 13^n), {n, 0, 20}]

Prog

(Magma) [DivisorSigma(n, 26): n in [0..20]];

Crossrefs

Cf. similar sequences listed in A241029.

Sequence in context: A197323 A197976 A338194 * A143990 A352074 A267616

Adjacent sequences: A241027 A241028 A241029 * A241031 A241032 A241033

Keyword

nonn,easy

Author

Vincenzo Librandi, Apr 17 2014

Status

approved