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A160515
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Decimal expansion of the integer (640320^3 + 744)^2 *70^2 = 337736875876935471466319632507953926400.
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3
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3, 3, 7, 7, 3, 6, 8, 7, 5, 8, 7, 6, 9, 3, 5, 4, 7, 1, 4, 6, 6, 3, 1, 9, 6, 3, 2, 5, 0, 7, 9, 5, 3, 9, 2, 6, 4, 0, 0
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OFFSET
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39,1
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COMMENTS
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640320^3 +744 is an integer which is very close to Ramanujan's constant e^pi{sqrt163} = 640320^3 +743.99999999999925 and 70^2 is related to the norm vector 0 of the hyperbolic version of the Leech lattice since 1^2+2^2+3^3...+22^2+23^2+24^2 = 70^2.
337736875876935471466319632507953926400 = 2^8*3^2*5^2*7^2*10939058860032031^2 and 10939058860032031 is a prime number which can be decomposed to 2^15*3^2*5^3*23^3*29^3 + 31.
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REFERENCES
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J. H. Conway and N. J. A. Sloane, "Sphere Packings, Lattices and Groups", Springer-Verlag, 3rd, 1999.
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LINKS
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Table of n, a(n) for n=39..77.
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FORMULA
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Equals product_{i=1..5} A160514(i).
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CROSSREFS
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Sequence in context: A000199 A201932 A161771 * A105670 A003817 A092474
Adjacent sequences: A160512 A160513 A160514 * A160516 A160517 A160518
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KEYWORD
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nonn,cons,fini,full
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AUTHOR
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Mark A. Thomas, May 16 2009
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EXTENSIONS
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Partially edited by R. J. Mathar, May 30 2009
Edited by N. J. A. Sloane, Dec 24 2010
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STATUS
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approved
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