A003783 - OEIS

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A003783

Coefficients of Jacobi Eisenstein series of index 1 and weight 8.

1, 0, 0, 56, 366, 0, 0, 14016, 33156, 0, 0, 260712, 462392, 0, 0, 1987392, 2998638, 0, 0, 9090984, 12799080, 0, 0, 31997376, 41846952, 0, 0, 89282144, 113936064, 0, 0, 222509952, 271647108, 0, 0, 482553936, 583789398 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`0,4`
	REFERENCES	`M. Eichler and D. Zagier, The Theory of Jacobi Forms, Birkhauser, 1985, p. 141.`
	LINKS	`Table of n, a(n) for n=0..36.`
	FORMULA	`The series is t3^3[t3^12-15(t3^8t2^4)/8+15(t3^4t2^8)/16-7(t2^12)/128] where tj=theta_j(z) is the associated weight 15/2 form.`
	CROSSREFS	`Cf. A003782.` `Sequence in context: A156375 A219718 A296823 * A088833 A181598 A181705` `Adjacent sequences: A003780 A003781 A003782 * A003784 A003785 A003786`
	KEYWORD	`nonn`
	AUTHOR	`N. J. A. Sloane`
	EXTENSIONS	`More terms from Kok Seng Chua (chuaks(AT)ihpc.nus.edu.sg), May 26 2000` `a(31) corrected by Sean A. Irvine, Jan 20 2016`
	STATUS	`approved`

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Last modified January 28 08:29 EST 2023. Contains 359850 sequences. (Running on oeis4.)