id:A056948 - OEIS Search Results

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Jacobi form of weight 12 and index 1 associated with a nonexistent Niemeier lattice of Coxeter number 1.

+0
2

1, 0, 0, -2, 26, 0, 0, 32560, 130812, 0, 0, 3671562, 9174424, 0, 0, 95675472, 188233758, 0, 0, 1142977594, 1959731160, 0, 0, 8506658544, 13293118872, 0, 0, 45762829976, 67073331776, 0, 0, 195388726752, 272567835540, 0, 0, 698077270836, 938806082418, 0, 0, 2176652437872 (list; graph; listen)

	OFFSET	`0,4`
	COMMENT	`a(3)<0 (apparently the only negative term) so the lattice cannot exist. a(4n)+2*sum_{1<=r<=sqrt(4n)} a(4n-r^2) = A056947(n)`
	REFERENCES	`Eichler and Zagier, The Theory of Jacobi Forms, Birkhauser 1985`
	FORMULA	`E_8E_{4, 1}+(2h-60)E_{12, 1} where h=1.`
	CROSSREFS	`Cf. A056947.` `Sequence in context: A014050 A015214 A088816 this_sequence A035420 A022375 A072663` `Adjacent sequences: A056945 A056946 A056947 this_sequence A056949 A056950 A056951`
	KEYWORD	`sign`
	AUTHOR	`Kok Seng Chua (chuaks(AT)ihpc.nus.edu.sg), Jul 17 2000`

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.

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