id:A115672 - OEIS Search Results

Search: id:A115672

Displaying 1-1 of 1 results found.

page 1

Expansion of a newform level 35 weight 2 and trivial character.

+0
1

1, 0, 1, -2, -1, 0, 1, 0, -2, 0, -3, -2, 5, 0, -1, 4, 3, 0, 2, 2, 1, 0, -6, 0, 1, 0, -5, -2, 3, 0, -4, 0, -3, 0, -1, 4, 2, 0, 5, 0, -12, 0, -10, 6, 2, 0, 9, 4, 1, 0, 3, -10, 12, 0, 3, 0, 2, 0, 0, 2, 8, 0, -2, -8, -5, 0, -4, -6, -6, 0, 0, 0, 2, 0, 1, -4, -3, 0, -1, -4, 1, 0, 12, -2, -3, 0, 3, 0, -12, 0, 5, 12, -4, 0, -2, 0, -1, 0, 6, -2, 6 (list; graph; listen)

	OFFSET	`1,4`
	LINKS	`W. Stein, Modular Forms Database.`
	FORMULA	`a(n) is multiplicative with a(5^e) = (-1)^e, a(7^e) = 1, a(p^e) = a(p)a(p^(e-1)) -p*a(p^(e-2)) otherwise.` `Expansion of (eta(q^5)eta(q^7))^2+(eta(q)eta(q^35))^2 in powers of q.`
	EXAMPLE	`q +q^3 -2q^4 -q^5 +q^7 -2q^9 -3q^11 -2q^12 +5*q^13 -q^15 +...`
	PROGRAM	`(PARI) {a(n)=local(A); if(n<1, 0, n--; A=xO(x^n); polcoeff( (eta(x^5+A)eta(x^7+A))^2+x^2(eta(x+A)eta(x^35+A))^2, n))}`
	CROSSREFS	`Cf. A106852(n)=a(3^n).` `Adjacent sequences: A115669 A115670 A115671 this_sequence A115673 A115674 A115675` `Sequence in context: A062756 A116422 A130161 this_sequence A079694 A068906 A055300`
	KEYWORD	`sign,mult`
	AUTHOR	`Michael Somos, Jan 29 2006`

page 1

Search completed in 0.002 seconds

Last modified October 13 09:05 EDT 2008. Contains 145008 sequences.

AT&T Labs Research