A105598 - OEIS

A105598

Partial sums of central numbers for a Moebius-binomial triangle.

1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24, 24, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 39, 39, 40, 41, 42, 43, 44, 45, 45, 46, 47, 48, 49, 50, 51, 52, 52, 53, 54, 54, 55, 56, 57, 58, 58, 59, 60, 61, 62

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,2

COMMENTS

Partial sums of A105597.

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..10000

FORMULA

a(n)=sum{k=0..n, binomial(abs(mu(k)), abs(mu(floor(k/2))))}

MATHEMATICA

Accumulate[Table[Binomial[Abs[MoebiusMu[x]], Abs[MoebiusMu[Floor[x/2]]]], {x, 0, 80}]] (* Harvey P. Dale, Mar 13 2014 *)

CROSSREFS