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Search: id:A051662
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| A051662 |
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House numbers: a(n)=(n+1)^3 + sum(i^2,i=1..n). |
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+0
3
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| 1, 9, 32, 78, 155, 271, 434, 652, 933, 1285, 1716, 2234, 2847, 3563, 4390, 5336, 6409, 7617, 8968, 10470, 12131, 13959, 15962, 18148, 20525, 23101, 25884, 28882, 32103, 35555, 39246, 43184, 47377, 51833, 56560, 61566, 66859, 72447, 78338, 84540
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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a(n)=(n+1)*(8*n^2+13*n+6)/6
Binomial transform of [1, 8, 15, 8, 0, 0, 0,...]. - Gary W. Adamson (qntmpkt(AT)yahoo.com), Nov 23 2007
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MAPLE
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a:=n->sum(k^2, k=1..n):seq(a(n)+sum(n^2, k=2..n), n=1...40); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 11 2008
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CROSSREFS
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A000578(n+1)+A000330(n).
Cf. A000330.
Sequence in context: A063134 A152619 A027620 this_sequence A061913 A130444 A145849
Adjacent sequences: A051659 A051660 A051661 this_sequence A051663 A051664 A051665
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KEYWORD
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easy,nice,nonn
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AUTHOR
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Klaus Strassburger (strass(AT)ddfi.uni-duesseldorf.de)
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EXTENSIONS
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Corrected by T. D. Noe (noe(AT)sspectra.com), Nov 01 2006
Corrected by T. D. Noe (noe(AT)sspectra.com), Nov 08 2006
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