id:A159046 - OEIS Search Results

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

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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; listen)

	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 this_sequence A029937 A117848 A025242` `Adjacent sequences: A159043 A159044 A159045 this_sequence A159047 A159048 A159049`
	KEYWORD	`nonn`
	AUTHOR	`S. R. Finch (Steven.Finch(AT)inria.fr), Apr 03 2009`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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