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A165884
Irregular table of negated A080092 and a leading column of 1's.
1
1, 1, -2, 1, -2, -3, 1, -2, -3, -5, 1, -2, -3, -7, 1, -2, -3, -5, 1, -2, -3, -11, 1, -2, -3, -5, -7, -13, 1, -2, -3, -1, -2, -3, -5, -17
OFFSET
0,3
COMMENTS
The von Staudt-Clausen decomposition of nonzero Bernoulli numbers (see A164555 and A006954) states B(0)=1, B(1) = 1/2 = 1-1/2, B(2) = 1/6 = 1-1/2-1/3, B(4) = -1/30 = 1-1/2-1/3-1/5 etc.
We consider the denominators of the fractions in these sums, one sum per row. The first term in the sums is essentially the sequence of two 1's followed by A000146; this contributes a first column to this sequence here compared with table A080092.
LINKS
EXAMPLE
1;
1, -2;
1, -2, -3;
1, -2, -3, -5;
1, -2, -3, -7;
1, -2, -3, -5;
1, -2, -3, -11;
1, -2, -3, -5, -7, -13;
1, -2, -3;
CROSSREFS
Cf. A046886 (row lengths minus 1), A000146.
Sequence in context: A092080 A264482 A193588 * A263939 A347499 A136311
KEYWORD
tabf,less,sign
AUTHOR
Paul Curtz, Sep 29 2009
STATUS
approved