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A162148
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n*(n+1)*(5*n+7)/6.
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5
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0, 4, 17, 44, 90, 160, 259, 392, 564, 780, 1045, 1364, 1742, 2184, 2695, 3280, 3944, 4692, 5529, 6460, 7490, 8624, 9867, 11224, 12700, 14300, 16029, 17892, 19894, 22040, 24335, 26784, 29392, 32164, 35105, 38220, 41514, 44992, 48659, 52520, 56580
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Partial sums of A147875.
Equals the fourth right hand column of A175136 for n>=1. [From Johannes W. Meijer, May 6 2011]
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..1000
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FORMULA
| a(n) = A162147(n)+A000217(n).
From Johannes W. Meijer, May 6 2011: (Start)
G.f.: x*(4+x)/(x-1)^4
a(n) = 4*binomial(n+2,3)+binomial(n+1,3)
a(n) = A091894(3,0)*binomial(n+2,3)+ A091894(3,1)*binomial(n+1,3) (End)
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MATHEMATICA
| f[n_]:=5*n+4; s1=s2=0; lst={}; Do[a=f[n]; s1+=a; s2+=s1; AppendTo[lst, s2], {n, 0, 6!}]; lst
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PROG
| (MAGMA) [n*(n+1)*(5*n+7)/6: n in [0..50]]; // Vincenzo Librandi, May 07 2011
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CROSSREFS
| Cf. A033994, A002413, A016061, A006331, A002412, A162147
Cf. A175136, A190048, A190049.
Related to A000292 and A091894. [From Johannes W. Meijer, May 6 2011]
Sequence in context: A022266 A145995 A018973 * A166781 A147656 A095667
Adjacent sequences: A162145 A162146 A162147 * A162149 A162150 A162151
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KEYWORD
| nonn,easy
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AUTHOR
| Vladimir Orlovsky (4vladimir(AT)gmail.com), Jun 25 2009
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EXTENSIONS
| Definition rephrased by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jun 27 2009
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