A015027 q-factorial numbers for q=-12.

1, -11, -1463, 2333485, 44665236385, -10259202810507035, -28277368892180867021255, 935288538953861649874525071325, 371221802129246962654056875248358359825, -1768082733073463162105209099485375242162416580075

Offset

1,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..40

Index entries for sequences related to factorial numbers

Formula

Prod_{k=1}^{n} (q^k - 1) / (q - 1).

a(1) = 1, a(n) = ((-12)^n -1)*a(n-1)/(-13). - Vincenzo Librandi, Oct 26 2012

Mathematica

RecurrenceTable[{a[1]==1, a[n]==(((-12)^n - 1) * a[n-1])/(-13)}, a, {n, 15}] (* Vincenzo Librandi, Oct 26 2012 *)

Prog

(Magma) [n le 1 select 1 else ((-12)^n - 1)*Self(n-1)/(-13): n in [1..13]]; // Vincenzo Librandi, Oct 26 2012

Crossrefs

Sequence in context: A068896 A286650 A377640 * A160264 A351597 A076168

Adjacent sequences: A015024 A015025 A015026 * A015028 A015029 A015030

Keyword

sign,easy

Author

Olivier Gérard

Status

approved