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A105235
Partial sums of the central column of a Moebius-binomial triangle.
2
1, 2, 2, 3, 4, 5, 5, 6, 7, 8, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 21, 22, 23, 24, 24, 25, 26, 27, 27, 28, 29, 30, 30, 31, 32, 33, 33, 34, 35, 36, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 47, 48, 49, 50, 50, 51, 52, 53, 53, 54, 55, 56, 56, 57, 58
OFFSET
0,2
LINKS
FORMULA
a(n) = 1 + Sum_{k=1..n} binomial(abs(mu(2*k)), abs(mu(k))).
MATHEMATICA
a[n_]:=Binomial[Abs[MoebiusMu[2n]], Abs[MoebiusMu[n]]]; Accumulate[Table[a[n], {n, 0, 72}]] (* James C. McMahon, Jan 22 2024 *)
PROG
(PARI) seq(n) = {my(v=vector(1+n)); v[1]=1; for(k=1, n, v[1+k] = v[k] + binomial(abs(moebius(2*k)), abs(moebius(k)))); v} \\ Andrew Howroyd, Jan 22 2024
CROSSREFS
Partial sums of A105234.
Cf. A008683.
Sequence in context: A066530 A074183 A039960 * A073719 A105566 A064317
KEYWORD
easy,nonn
AUTHOR
Paul Barry, Apr 14 2005
STATUS
approved