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Search: id:A160514
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| A160514 |
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The sequence is: 2^8,3^2,5^2,7^2,10939058860032031^2 where 10939058860032031 is prime and where its order is an integer 337736875876935471466319632507953926400 and is equal to ((640320)^3 + 744)^2 *70^2 where (640320)^3 + 744 is an integer value which is nearly Ramanujan's constant and 1^2+2^2+3^2...+22^2+23^2+24^2 = 70^2 which is related to the norm vector 0 used in construction of the Leech lattice. |
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+0
3
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OFFSET
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1,1
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COMMENT
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The prime number 10939058860032031 = 2^15,3^2,5^3,23^3,29^3+31 Ramanujan's constant: e^pi{sqrt163}= 640320^3 + 743.99999999999925 = A060295
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FORMULA
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(640320^3 +744)^2 *70^2 = A160515
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CROSSREFS
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Sequence in context: A069409 A069435 A139305 this_sequence A133487 A103949 A057066
Adjacent sequences: A160511 A160512 A160513 this_sequence A160515 A160516 A160517
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KEYWORD
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nonn,uned,fini,full
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AUTHOR
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Mark A. Thomas (monstrousgaugetheory(AT)gmail.com), May 16 2009
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EXTENSIONS
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Partially edited by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 30 2009
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