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A078616 Sum(k=0..n, A010815(k)). +0
1
1, 0, -1, -1, -1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 (list; graph; listen)
OFFSET

0,1

COMMENT

To construct the sequence: a(0)=1, a(1)=0, then (2*1+1) (-1)'s followed by 2 0's, followed by (2*2+1) 1's, followed by 3 0's, followed by (2*3+1) (-1)'s etc.

FORMULA

For m>0, a(k)=0 if A000326(m)<=k<A000326(m)+m; a(k)=(-1)^m if A000326(m)+m<=k<A000326(m+1)

G.f.: eta(x)/(1-x) - Benoit Cloitre (benoit7848c(AT)orange.fr), Jan 31 2004

PROGRAM

(PARI) a(n)=polcoeff(eta(x)/(1-x)+O(x^n), n)

CROSSREFS

Sequence in context: A099076 A030308 A120530 this_sequence A104106 A141260 A029883

Adjacent sequences: A078613 A078614 A078615 this_sequence A078617 A078618 A078619

KEYWORD

sign

AUTHOR

Benoit Cloitre (benoit7848c(AT)orange.fr), Dec 10 2002

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.


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