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 A174263 Numerator of the n-th term of the inverse Binomial Transform of the Bernoulli sequence prefixed with 0. 0
 0, 1, -5, 14, -23, 349, -499, 793, -1038, 7901, -9791, 65488, -78193, 795259, -925389, 1615811, -1841036, 67142767, -75821437, 358067518, -388783203, -521129621, 480390923, 133108162049 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS The inverse binomial transform of 0, 1, -1/2, 1/6, 0, ... is A(n) = 0, 1, -5/2, 14/3, -23/3, ... The current sequence is defined by the numerators; the denominators are A100650(n). There is a connection to the sequence b(n) = 0, 1, 1/2, 1/6, 0, -1/30, ... of modified Bernoulli numbers [b(0)=0, b(2) = -Bernoulli(1), b(n) = Bernoulli(n-1) if n <> 2] discussed in A165142: The inverse binomial transform of b(n) is c(n) = 0, 1, -3/2, 5/3, -5/3, 49/30, -49/30, ..., and c(n) - A(n) = (-1)^n*A000217(n-1). LINKS MAPLE read("transforms") ; A174264 := proc(n) local b; b := [0, seq(bernoulli(i), i=0..n+1)] ; BINOMIALi(b) ; numer(op(n+1, %)) ; end proc: seq(A174264(n), n=0..30) ; # R. J. Mathar, Jan 21 2011 CROSSREFS Cf. A164558. Sequence in context: A052219 A044057 A147825 * A143057 A063238 A063223 Adjacent sequences:  A174260 A174261 A174262 * A174264 A174265 A174266 KEYWORD sign,frac AUTHOR Paul Curtz, Mar 14 2010 STATUS approved

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Last modified September 20 16:50 EDT 2021. Contains 347586 sequences. (Running on oeis4.)