[go: up one dir, main page]

login
A016320
Expansion of 1/((1-2x)(1-8x)(1-12x)).
1
1, 22, 348, 4856, 63728, 808416, 10050496, 123402112, 1503194880, 18217295360, 220039199744, 2651923642368, 31914709676032, 383709523861504, 4610378348347392, 55371452676276224, 664832732084240384
OFFSET
0,2
FORMULA
From Vincenzo Librandi, Oct 09 2011: (Start)
a(n) = (54*12^n + 2^n - 40*8^n)/15.
a(n) = 20*a(n-1) - 96*a(n-2) + 2^n.
a(n) = 22*a(n-1) - 136*a(n-2) + 192*a(n-3), n >= 3. (End)
PROG
(Magma) [(54*12^n + 2^n -40*8^n)/15 : n in [0..20]]; // Vincenzo Librandi, Oct 09 2011
(PARI) Vec(1/((1-2*x)*(1-8*x)*(1-12*x))+O(x^99)) \\ Charles R Greathouse IV, Sep 26 2012
CROSSREFS
Sequence in context: A277834 A016322 A096047 * A103722 A100904 A036738
KEYWORD
nonn,easy
STATUS
approved