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A020341
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Expansion of 1/((1-5x)(1-7x)(1-12x)).
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3
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1, 24, 397, 5652, 74665, 946992, 11736613, 143526444, 1741517569, 21034565640, 253379036989, 3047347017156, 36615998359513, 439728040092768, 5279095003079125, 63365680208288988, 760504096286734897
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (24,-179,420)
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FORMULA
| a(n) = 5^(n+2)/14 -7^(n+2)/10 +12^(n+2)/35. - R. J. Mathar, Mar 15 2011
a(0)=1, a(1)=24, a(2)=397, a(n)=24*a(n-1)-179*a(n-2)+420*a(n-3) [From Harvey P. Dale, Dec 10 2011]
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MATHEMATICA
| CoefficientList[Series[1/((1-5x)(1-7x)(1-12x)), {x, 0, 30}], x] (* or *) LinearRecurrence[{24, -179, 420}, {1, 24, 397}, 30] (* From Harvey P. Dale, Dec 10 2011 *)
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CROSSREFS
| Sequence in context: A021894 A021694 A019687 * A021674 A019677 A021314
Adjacent sequences: A020338 A020339 A020340 * A020342 A020343 A020344
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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