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

0,2

LINKS

Michael De Vlieger, Table of n, a(n) for n = 0..1182

Index entries for linear recurrences with constant coefficients, signature (14,-59,70).

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 *)

PROG

(Sage) [((7^n - 2^n)/5-(5^n - 2^n)/3)/2 for n in xrange(2, 21)] # Zerinvary Lajos, Jun 05 2009

CROSSREFS

Sequence in context: A004004 A002753 A155625 * A021044 A121034 A125402

Adjacent sequences:  A016293 A016294 A016295 * A016297 A016298 A016299

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified November 18 21:04 EST 2018. Contains 317331 sequences. (Running on oeis4.)