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A090197
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n^3 + 6n^2 + 6n + 1.
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3
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1, 14, 45, 100, 185, 306, 469, 680, 945, 1270, 1661, 2124, 2665, 3290, 4005, 4816, 5729, 6750, 7885, 9140, 10521, 12034, 13685, 15480, 17425, 19526, 21789, 24220, 26825, 29610, 32581, 35744, 39105, 42670, 46445, 50436, 54649, 59090, 63765
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| N(4,n) where N(4,x) is the 4-th Narayana polynomial.
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (4,-6,4,-1).
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FORMULA
| a(n) = N(4, n)= Sum_{k>0} A001263(4, k)*n^(k-1) = n^3 + 6*n^2 + 6*n + 1.
G.f. ( 1+10*x-5*x^2 ) / (x-1)^4 . - R. J. Mathar, Sep 07 2011
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PROG
| (PARI) n^3+6*n^2+6*n+1 \\ Charles R Greathouse IV, Jan 17 2012
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CROSSREFS
| For N(3,n), see A028387.
Sequence in context: A206215 A123295 A092350 * A010742 A206208 A039368
Adjacent sequences: A090194 A090195 A090196 * A090198 A090199 A090200
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KEYWORD
| nonn,easy
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AUTHOR
| DELEHAM Philippe (kolotoko(AT)wanadoo.fr), Jan 22 2004
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