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A174276 Denominator of the n-th term of the inverse binomial transform of 1, 1/2, B_4, B_6, B_8,..., a modified Bernoulli sequence. 4
1, 2, 6, 30, 70, 210, 2310, 10010, 6006, 510510, 461890, 9699690, 31870410, 74364290, 223092870, 6469693230, 6077590610, 200560490130, 200560490130, 494715875654, 674612557710, 60850052705442, 872184088778002, 13082761331670030 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

The numerators are in A174289. The input sequence starts 1, 1/2, 1/6, -1/30, 1/42....

The inverse binomial transform generates 1, -1/2, 1/6, -1/30, 11/70, -137/210, 4157/2310,...

LINKS

Table of n, a(n) for n=0..23.

MAPLE

read("transforms") ; L := [1, 1/2, seq(bernoulli(2*i), i=1..30)] ; BINOMIALi(L) ; apply(denom, %) ;

MATHEMATICA

b[0]=1; b[1]=1/2; b[n_] := BernoulliB[2n-2]; a[n_] := Sum[(-1)^(n-k)*Binomial[n, k]*b[k], {k, 0, n}]; Table[a[n], {n, 0, 23}] // Denominator (* Jean-Fran├žois Alcover_, Aug 09 2012 *)

CROSSREFS

Cf. A000367, A164555, A006954.

Sequence in context: A137825 A008341 A211889 * A117849 A328417 A290760

Adjacent sequences:  A174273 A174274 A174275 * A174277 A174278 A174279

KEYWORD

nonn,frac

AUTHOR

Paul Curtz, Mar 14 2010

STATUS

approved

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Last modified August 11 00:32 EDT 2020. Contains 336403 sequences. (Running on oeis4.)