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Search: id:A162147
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| 0, 3, 14, 38, 80, 145, 238, 364, 528, 735, 990, 1298, 1664, 2093, 2590, 3160, 3808, 4539, 5358, 6270, 7280, 8393, 9614, 10948, 12400, 13975, 15678, 17514, 19488, 21605, 23870, 26288, 28864, 31603, 34510, 37590, 40848, 44289, 47918, 51740, 55760
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OFFSET
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0,2
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COMMENT
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Partial sums of A005475.
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FORMULA
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a(n)=4*a(n-1)-6*a(n-2)+4*a(n-3)-a(n-4) = A033994(n)+A000217(n). G.f.: x*(3+2*x)/(x-1)^4. [R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jun 27 2009]
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MATHEMATICA
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f[n_]:=5*n+3; s1=s2=0; lst={}; Do[a=f[n]; s1+=a; s2+=s1; AppendTo[lst, s2], {n, 0, 6!}]; lst
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CROSSREFS
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Cf. A033994, A002413, A016061, A006331, A002412.
Sequence in context: A068044 A141129 A143941 this_sequence A027444 A000263 A102590
Adjacent sequences: A162144 A162145 A162146 this_sequence A162148 A162149 A162150
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KEYWORD
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nonn,easy
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AUTHOR
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Vladimir Orlovsky (4vladimir(AT)gmail.com), Jun 25 2009
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EXTENSIONS
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Definition rephrased by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jun 27 2009
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