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A153977
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One-Fourth of Partial sums of A153976.
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1
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2, 9, 27, 65, 135, 252, 434, 702, 1080, 1595, 2277, 3159, 4277, 5670, 7380, 9452, 11934, 14877, 18335, 22365, 27027, 32384, 38502, 45450, 53300, 62127, 72009, 83027, 95265, 108810, 123752, 140184, 158202, 177905, 199395, 222777, 248159
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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FORMULA
| a(0)=2, a(1)=9, a(2)=27, a(3)=65, a(4)=135, a(n)=5*a(n-1)-10*a(n-2)+ 10*a(n-3)-5*a(n-4)+a(n-5) [From Harvey P. Dale, Aug 02 2011]
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MATHEMATICA
| a[n_]:=n^3; lst={}; s=0; Do[s+=(a[n]+a[n+2]); AppendTo[lst, s/4], {n, 0, 6!}]; lst
Accumulate[Array[#^3+(#+2)^3&, 40, 0]]/4 (* or *) LinearRecurrence[ {5, -10, 10, -5, 1}, {2, 9, 27, 65, 135}, 40] (* From Harvey P. Dale, Aug 02 2011 *)
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CROSSREFS
| Cf. A003215, A000537, A000578, A005898, A027602, A006007, A153976
Sequence in context: A091469 A125670 A008910 * A051746 A123904 A128239
Adjacent sequences: A153974 A153975 A153976 * A153978 A153979 A153980
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KEYWORD
| nonn
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AUTHOR
| Vladimir Orlovsky (4vladimir(AT)gmail.com), Jan 03 2009
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