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A191590
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a(n) is the genus of the modular curve associated to the principal congruence subgroup of level p(n), where p(n) is the n-th prime number.
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0
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0, 0, 3, 26, 50, 133, 196, 375, 806, 1001, 1768, 2451, 2850, 3773, 5500, 7686, 8526, 11408, 13651, 14875, 18981, 22100, 27391, 35673, 40376, 42875, 48178, 50986, 56925, 81313, 89376, 102443, 107066, 132276, 137751, 155078, 173800, 187083, 208250, 230956, 238876, 281201
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OFFSET
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2,3
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LINKS
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Table of n, a(n) for n=2..43.
Jens Putzka, Aequivariante Signaturen und Darstellungen der Modulgruppe in der Kohomologie von Modulkurven, Master Thesis (2006), page 18.
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FORMULA
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a(n)=(prime(n)+2)*(prime(n)-3)*(prime(n)-5)/24.
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PROG
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(PARI) a(p)=(p+2)*(p-3)*(p-5)/24;
forprime(p=3, 1000, print1(a(p), ", "));
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CROSSREFS
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Sequence in context: A062181 A058993 A083109 * A177511 A294494 A048372
Adjacent sequences: A191587 A191588 A191589 * A191591 A191592 A191593
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KEYWORD
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nonn,easy
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AUTHOR
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Gaël Collinet, Jun 08 2011
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STATUS
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approved
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