OFFSET
0,2
COMMENTS
The binomial transform of the "original" Bernoulli numbers is 1, 3/2, 13/6, ... as mentioned in A164558.
The first differences of that sequence are 3/2 - 1 = 1/2, 13/6 - 3/2 = 2/3, 5/6, 29/30, 31/30, ... and the numerators of these differences are listed here.
The bisection a(2n) reappears (up to signs) as A162173(n+1).
FORMULA
MAPLE
read("transforms") :
A164555 := proc(n) if n <= 2 then 1; else numer(bernoulli(n)) ; end if; end proc:
A027642 := proc(n) denom(bernoulli(n)) ; end proc:
nmax := 40:
map(numer, DIFF(%)) ; # R. J. Mathar, Jul 07 2011
CROSSREFS
KEYWORD
frac,sign
AUTHOR
Paul Curtz, Sep 06 2009
STATUS
approved