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A196791
a(n) = T(9,n), array T given by A047848.
1
1, 2, 14, 158, 1886, 22622, 271454, 3257438, 39089246, 469070942, 5628851294, 67546215518, 810554586206, 9726655034462, 116719860413534, 1400638324962398, 16807659899548766, 201691918794585182, 2420303025535022174, 29043636306420266078, 348523635677043192926
OFFSET
0,2
COMMENTS
T(k,n) = ((k+3)^n+k+1)/(k+2).
FORMULA
a(n) = (12^n + 10)/11; a(0)=1, a(n) = 12*a(n-1) - 10.
G.f.: (1-11*x)/((1-x)*(1-12*x)). - Bruno Berselli, Oct 11 2011
From Elmo R. Oliveira, Aug 30 2024: (Start)
E.g.f.: exp(x)*(exp(11*x) + 10)/11.
a(n) = 13*a(n-1) - 12*a(n-2) for n > 1. (End)
MATHEMATICA
LinearRecurrence[{13, -12}, {1, 2}, 30] (* Harvey P. Dale, Sep 07 2015 *)
PROG
(Magma) [(12^n+10)/11: n in [0..20]];
CROSSREFS
Cf. A001021 (first differences).
Sequence in context: A175564 A355114 A332693 * A349312 A218295 A354242
KEYWORD
nonn,easy
AUTHOR
Vincenzo Librandi, Oct 11 2011
STATUS
approved