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A028029
Expansion of 1/((1-3x)(1-4x)(1-5x)(1-10x)).
0
1, 22, 317, 3830, 42381, 447582, 4608877, 46813030, 471994061, 4740248942, 47508048237, 475624522230, 4759030936141, 47604501583102, 476117036332397, 4761534717751430, 47617186000380621, 476181122450194062
OFFSET
0,2
FORMULA
a(0)=1, a(1)=22, a(2)=317, a(3)=3830, a(n)=22*a(n-1)-167*a(n-2)+ 530*a(n-3)- 600*a(n-4). [Harvey P. Dale, May 08 2012]
a(n)=(10^(n+3)-21*5^(n+3)+35*4^(n+3)-15*3^(n+3))/210. [Yahia Kahloune, May 30 2013]
MATHEMATICA
CoefficientList[Series[1/((1-3x)(1-4x)(1-5x)(1-10x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{22, -167, 530, -600}, {1, 22, 317, 3830}, 30] (* Harvey P. Dale, May 08 2012 *)
CROSSREFS
Sequence in context: A267132 A023949 A025972 * A022453 A025968 A025948
KEYWORD
nonn,easy
AUTHOR
STATUS
approved