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A059599
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Expansion of (3+x)/(1-x)^6.
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2
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3, 19, 69, 189, 434, 882, 1638, 2838, 4653, 7293, 11011, 16107, 22932, 31892, 43452, 58140, 76551, 99351, 127281, 161161, 201894, 250470, 307970, 375570, 454545, 546273, 652239, 774039, 913384, 1072104, 1252152, 1455608, 1684683, 1941723
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (6,-15,20,-15,6,-1).
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FORMULA
| a(n)= binomial(n+4, 4)*(15+4*n)/5.
G.f.: (3+x)/(1-x)^6.
a(-n-4) = -A034263(n). - Bruno Berselli, Aug 23 2011
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MATHEMATICA
| f[n_]:=Binomial[n+4, 4]*(15+4*n)/5; Table[f[n], {n, 0, 5!}] [From Vladimir Orlovsky (4vladimir(AT)gmail.com), May 30 2010]
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CROSSREFS
| Sequence in context: A091968 A158714 A064056 * A183461 A095662 A090698
Adjacent sequences: A059596 A059597 A059598 * A059600 A059601 A059602
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KEYWORD
| nonn,easy
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AUTHOR
| Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Feb 02 2001.
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EXTENSIONS
| More terms from Vladimir Orlovsky (4vladimir(AT)gmail.com), May 30 2010
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