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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..900

Index entries for linear recurrences with constant coefficients, signature (22,-136,192).

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

Adjacent sequences:  A016317 A016318 A016319 * A016321 A016322 A016323

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified May 24 17:09 EDT 2019. Contains 323533 sequences. (Running on oeis4.)