A117166 Column 1 of triangle A117165 of Shift-Moebius coefficients and so equals the Shift-Moebius transform of [1,0,0,0,...].

1, -1, -2, -1, -2, 1, -1, 3, 0, 4, 4, 5, 1, 7, 6, 5, 4, 6, 3, 5, 3, 2, 5, -3, -5, -1, 2, -7, -6, -13, -9, -14, -12, -22, -12, -25, -23, -26, -21, -35, -27, -38, -27, -43, -32, -47, -34, -51, -46, -52, -33, -53, -35, -58, -41, -56, -39, -54, -39, -61, -45, -53, -24, -46, -23, -44, -20, -41, -14, -32, -12, -22

Offset

1,3

Comments

Equals the self-convolution inverse of A117161, which is the limit of columns of triangle A112682.

Links

Table of n, a(n) for n=1..72.

Prog

(PARI) {a(n)=prod(i=0, n, matrix(n, n, r, c, if(r>=c, if((r+n-i)%(c+n-i)==0, moebius((r+n-i)/(c+n-i)), 0))))[ n, 1]}

Crossrefs

Cf. A117165 (triangle), A117167 (column 2), A117168 (column 3), A117169 (row sums), A117161 (inverse), A117160, A112682.

Sequence in context: A030422 A090001 A269329 * A078996 A084610 A303336

Adjacent sequences: A117163 A117164 A117165 * A117167 A117168 A117169

Keyword

sign

Author

Wouter Meeussen and Paul D. Hanna, Mar 05 2006

Status

approved