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A160514 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. 2
256, 9, 25, 49, 119663008743245277588690345984961 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

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

FORMULA

(640320^3 +744)^2 *70^2 = A160515

CROSSREFS

Sequence in context: A069409 A069435 A139305 * A203813 A133487 A188830

Adjacent sequences:  A160511 A160512 A160513 * A160515 A160516 A160517

KEYWORD

nonn,uned,fini,full

AUTHOR

Mark A. Thomas (monstrousgaugetheory(AT)gmail.com), May 16 2009

EXTENSIONS

Partially edited by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 30 2009

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Last modified February 16 08:54 EST 2012. Contains 205897 sequences.