id:A122792 - OEIS Search Results

Search: id:A122792

Displaying 1-1 of 1 results found.

page 1

Expansion of eta(q^2)^2/(eta(q)eta(q^3)) in powers of q.

+0
1

1, 1, 0, 2, 1, 0, 4, 2, 0, 6, 4, 0, 10, 6, 0, 16, 9, 0, 24, 14, 0, 36, 20, 0, 52, 29, 0, 74, 42, 0, 104, 58, 0, 144, 80, 0, 198, 110, 0, 268, 148, 0, 360, 198, 0, 480, 264, 0, 634, 347, 0, 832, 454, 0, 1084, 592, 0, 1404, 764, 0, 1808, 982, 0, 2316, 1257, 0, 2952, 1598, 0 (list; graph; listen)

	OFFSET	`0,4`
	FORMULA	`Euler transform of period 6 sequence [ 1, -1, 2, -1, 1, 0, ...].` `G.f.: Product_{k>0} (1-x^k)^2/(1+x^k+x^(2k)). a(3n+2)=0.`
	PROGRAM	`(PARI) {a(n)=local(A); if(n<0, 0, A=x*O(x^n); polcoeff( eta(x^2+A)^2/eta(x+A)/eta(x^3+A), n))}`
	CROSSREFS	`A098151(n)=a(3n). A097197(n)=a(3n+1).` `Sequence in context: A136329 A122073 A106236 this_sequence A139136 A138002 A062296` `Adjacent sequences: A122789 A122790 A122791 this_sequence A122793 A122794 A122795`
	KEYWORD	`nonn`
	AUTHOR	`Michael Somos, Sep 11 2006`

page 1

Search completed in 0.002 seconds

Last modified November 24 14:25 EST 2009. Contains 167438 sequences.

AT&T Labs Research