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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 (list; graph; refs; listen; history; text; internal format)
 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 Eric Weisstein, von Staudt-Clausen Theorem, MathWorld. 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 Adjacent sequences: A165881 A165882 A165883 * A165885 A165886 A165887 KEYWORD tabf,less,sign AUTHOR Paul Curtz, Sep 29 2009 STATUS approved

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Last modified January 30 02:40 EST 2023. Contains 359939 sequences. (Running on oeis4.)