A110243 Row sums of a Jacobi triangle.

1, 2, -1, -1, 5, 1, -1, -1, 1, 7, -1, -1, 1, 1, -1, -1, 17, 1, -1, -1, 1, 1, -1, -1, 1, 21, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 25, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 43, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 65, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 55, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1

Offset

0,2

Comments

Row sums of A110242. It appears that only A110243(n^2) differs from +/-1, n>1.

Links

Table of n, a(n) for n=0..99.

Formula

a(n)=sum{k=0..n, Jacobi(n, 2n-2k+1)}

Maple

A110243 := proc(n)
    add(A110242(n, k), k=0..n) ;
end proc: # R. J. Mathar, Feb 20 2015

Crossrefs

Sequence in context: A264878 A338035 A373843 * A169950 A088347 A069568

Adjacent sequences: A110240 A110241 A110242 * A110244 A110245 A110246

Keyword

easy,sign

Author

Paul Barry, Jul 17 2005

Status

approved