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A237717
Numerators corresponding to A237425(n).
2
2, 1, 1, -1, -1, 1, 1, -17, -1, 31, 5, -691, -691, 5461, 7, -929569, -3617, 3202291, 43867, -221930581, -174611, 4722116521, 854513, -968383680827, -236364091, 14717667114151, 8553103, -2093660879252671, -23749461029, 86125672563201181
OFFSET
0,1
COMMENTS
This autosequence (a sequence which has its inverse binomial transform equal to the signed sequence) is related to Bernoulli and Euler numbers. For more details, see A237425.
LINKS
FORMULA
a(2n+2) = A000367(n+1), a(2n+1) = A089171(n).
MATHEMATICA
b[0] = 2; b[1] = 1; b[n_] := BernoulliB[n] + EulerE[n, 1]/2^IntegerExponent[n, 2]; a[n_] := Numerator[b[n]]; Table[a[n], {n, 0, 55}]
CROSSREFS
KEYWORD
sign,frac
AUTHOR
STATUS
approved