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A016296
Expansion of 1/((1-2x)(1-5x)(1-7x)).
2
1, 14, 137, 1162, 9165, 69342, 511393, 3709874, 26619989, 189594790, 1343438889, 9485451066, 66805055773, 469669890158, 3297861746225, 23135894831938, 162205576930917, 1136710604184246, 7963332057891001
OFFSET
0,2
FORMULA
a(n-2) = ((7^n - 2^n)/5 - (5^n - 2^n)/3)/2. - Zerinvary Lajos, Jun 05 2009
a(n) = 14*a(n-1) - 59*a(n-2) + 70*a(n-3), n >= 3. - Vincenzo Librandi, Mar 16 2011
a(n) = 12*a(n-1) - 35*a(n-2) + 2^n, n >= 2. - Vincenzo Librandi, Mar 16 2011
MATHEMATICA
CoefficientList[Series[1/((1 - 2 x) (1 - 5 x) (1 - 7 x)), {x, 0, 18}], x] (* Michael De Vlieger, Jan 31 2018 *)
LinearRecurrence[{14, -59, 70}, {1, 14, 137}, 30] (* Harvey P. Dale, Aug 11 2021 *)
PROG
(Sage) [((7^n - 2^n)/5-(5^n - 2^n)/3)/2 for n in range(2, 21)] # Zerinvary Lajos, Jun 05 2009
CROSSREFS
Sequence in context: A002753 A306301 A155625 * A021044 A338323 A121034
KEYWORD
nonn,easy
STATUS
approved