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

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

Sequence in context: A268234 A253188 A320847 * A356991 A083058 A374843

Adjacent sequences: A105595 A105596 A105597 * A105599 A105600 A105601

Keyword

easy,nonn

Author

Paul Barry, Apr 15 2005

Status

approved