A159046 - OEIS

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A159046

Dimension of the space of newforms of weight 2 on the subgroup Gamma_1 (n).

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 5, 2, 7, 3, 5, 4, 12, 5, 12, 6, 13, 8, 22, 7, 26, 13, 19, 11, 25, 13, 40, 14, 29, 19, 51, 13, 57, 25, 39, 21, 70, 23, 69, 24, 55, 37, 92, 22, 79, 42, 71, 34, 117, 34, 126, 39, 87, 61, 117, 31, 155, 68, 109, 45, 176, 55, 187, 56, 119, 87 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,13`
	REFERENCES	`G. Martin, Dimensions of the spaces of cusp forms and newforms on Gamma0(N) and Gamma1(N), J. Number Theory 112 (2005) 298-331.`
	FORMULA	`a(n) = A029937(n) - sum a(m)*d(n/m), where the summation is over all divisors 1 < m < n of n and d is the divisor function`
	EXAMPLE	`a(p) = A029937(p) = (p-5)*(p-7)/24 for any prime p`
	CROSSREFS	`Cf. A029937, A029938, A127788` `Sequence in context: A125311 A127568 A143364 * A029937 A117848 A025242` `Adjacent sequences: A159043 A159044 A159045 * A159047 A159048 A159049`
	KEYWORD	`nonn`
	AUTHOR	`S. R. Finch (Steven.Finch(AT)inria.fr), Apr 03 2009`

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Last modified February 14 20:38 EST 2012. Contains 205663 sequences.