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Search: id:A161519
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A161519 Expansion of Sum_{n >= 1} (-1)^nq^(n^2+n)(1-q^2)(1-q^4)...(1-q^(2n-2))/((1+q)(1+q^2)...(1+q^(2n))). +0
1
-1, 1, 0, 0, 0, 0, -1, 0, 0, 2, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 2, 0, 0, -2, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, 2, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 2, -1, 0, -2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -1, 2 (list; graph; listen)
OFFSET

2,10

COMMENT

-(-1)^na(n) is the number of inequivalent elements of norm -n in Z[sqrt{3}].

REFERENCES

Jeremy Lovejoy, Overpartitions and real quadratic fields, J. Number Theory, 106 (2004), 178-186.

CROSSREFS

Sequence in context: A074079 A037858 A037876 this_sequence A068101 A094263 A049761

Adjacent sequences: A161516 A161517 A161518 this_sequence A161520 A161521 A161522

KEYWORD

sign

AUTHOR

Jeremy Lovejoy (lovejoy(AT)liafa.jussieu.fr), Jun 12 2009

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.


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