A258812 a(n) = n^11 - 1.

0, 2047, 177146, 4194303, 48828124, 362797055, 1977326742, 8589934591, 31381059608, 99999999999, 285311670610, 743008370687, 1792160394036, 4049565169663, 8649755859374, 17592186044415, 34271896307632, 64268410079231, 116490258898218, 204799999999999

Offset

1,2

Links

Table of n, a(n) for n=1..20.

Index entries for linear recurrences with constant coefficients, signature (12,-66,220,-495,792,-924,792,-495,220,-66,12,-1).

Formula

G.f.: x^2* (2047 + 152582*x + 2203653*x^2 + 9737784*x^3 + 15724710*x^4 + 9737652*x^5 + 2203818*x^6 + 152472*x^7 + 2091*x^8 - 10*x^9 + x^10) / (1 - x)^12.

a(n) = 12*a(n-1) - 66*a(n-2) + 220*a(n-3) - 495*a(n-4) + 792*a(n-5) - 924*a(n-6) + 792*a(n-7) - 495*a(n-8) + 220*a(n-9) - 66*a(n-10) + 12*a(n-11) - a(n-12).

a(n) = -A024009(n). [Bruno Berselli, Jun 12 2015]

Mathematica

Table[n^11 - 1, {n, 33}] (* or *) LinearRecurrence[{12, -66, 220, -495, 792, -924, 792, -495, 220, -66, 12, -1}, {0, 2047, 177146, 4194303, 48828124, 362797055, 1977326742, 8589934591, 31381059608, 99999999999, 285311670610, 743008370687}, 40]

Prog

(Magma) [n^11-1: n in [1..40]];

Crossrefs

Cf. A024009.

Cf. similar sequences listed in A258807.

Sequence in context: A075950 A022527 A024009 * A321556 A321550 A014233

Adjacent sequences: A258809 A258810 A258811 * A258813 A258814 A258815

Keyword

nonn,easy

Author

Vincenzo Librandi, Jun 11 2015

Status

approved