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A026037
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a(n) = dot_product(1,2,...,n)*(3,4,...,n,1,2).
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3
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11, 22, 40, 67, 105, 156, 222, 305, 407, 530, 676, 847, 1045, 1272, 1530, 1821, 2147, 2510, 2912, 3355, 3841, 4372, 4950, 5577, 6255, 6986, 7772, 8615, 9517, 10480, 11506, 12597, 13755, 14982, 16280, 17651, 19097, 20620, 22222, 23905, 25671, 27522, 29460, 31487, 33605, 35816, 38122, 40525, 43027
(list; graph; refs; listen; history; internal format)
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OFFSET
| 3,1
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (4,-6,4,-1)
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FORMULA
| n(2n^2-3n+13)/6. - R. Stephan, Apr 30 2004
G.f. -x^3*(-11+22*x-18*x^2+5*x^3) / (x-1)^4 . - R. J. Mathar, Apr 17 2011
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MATHEMATICA
| s=0; lst={}; Do[s+=n^2+2; If[s>10, AppendTo[lst, s]], {n, 0, 6!, 1}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Nov 07 2008]
Table[n (2n^2-3n+13)/6, {n, 3, 60}] (* From Harvey P. Dale, Apr 22 2011 *)
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CROSSREFS
| Column 2 of triangle A094414.
Sequence in context: A084025 A061157 A144378 * A122613 A115768 A005015
Adjacent sequences: A026034 A026035 A026036 * A026038 A026039 A026040
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KEYWORD
| nonn
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AUTHOR
| Clark Kimberling (ck6(AT)evansville.edu)
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