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A059997
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(n/2)*(n + 1)*(3*n + 11).
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2
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14, 51, 120, 230, 390, 609, 896, 1260, 1710, 2255, 2904, 3666, 4550, 5565, 6720, 8024, 9486, 11115, 12920, 14910, 17094, 19481, 22080, 24900, 27950, 31239, 34776, 38570, 42630, 46965, 51584, 56496, 61710, 67235, 73080, 79254, 85766, 92625
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Number of dimensions for non-compact n-manifolds.
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REFERENCES
| John Nash, The Imbedding Problem For Riemannian Manifolds, Annals of Mathematics, Vol. 63, No. 1, 1956, pp. 20-63.
Harold W. Kuhn and Sylvia Nasar, eds., The Essential John Nash, Princeton University Press, Princeton, NJ, 2002, Chapter 11, page 207.
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LINKS
| Harry J. Smith, Table of n, a(n) for n=1,...,1000
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FORMULA
| a(n)=4*a(n-1)-6*a(n-2)+4*a(n-3)-a(n-4). G.f.: x*(14-5*x)/(1-x)^4. [Colin Barker, Jan 28 2012]
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MATHEMATICA
| Table[3/2n^3 + 7n^2 + 11/2n, {n, 1, 40}]
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PROG
| (PARI) { for (n=1, 1000, write("b059997.txt", n, " ", n*(n + 1)*(3*n + 11)/2); ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jul 01 2009]
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CROSSREFS
| Sequence in context: A039309 A043912 A009961 * A007588 A129025 A113907
Adjacent sequences: A059994 A059995 A059996 * A059998 A059999 A060000
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KEYWORD
| easy,nonn
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AUTHOR
| Jason Earls (zevi_35711(AT)yahoo.com), Mar 10 2001
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EXTENSIONS
| Edited by Robert G. Wilson v (rgwv(AT)rgwv.com), Mar 02 2002
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