A117169 Row sums of triangle A117165 of Shift-Moebius transform coefficients and so equals the Shift-Moebius transform of [1,1,1,...].

1, 0, -1, -1, -2, -1, -2, 0, -2, 0, 1, 2, 0, 3, 3, 4, 4, 6, 5, 7, 6, 7, 10, 7, 4, 7, 10, 7, 8, 5, 7, 6, 6, 1, 5, 0, -1, -2, -1, -8, -6, -11, -7, -15, -12, -20, -15, -24, -27, -33, -25, -36, -28, -41, -39, -48, -42, -51, -46, -61, -61, -69, -58, -72, -64, -77, -70, -85, -76, -90, -85, -94, -86, -99, -84, -100

Offset

1,5

Links

Table of n, a(n) for n=1..76.

Prog

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

Crossrefs

Cf. A117165 (triangle), A117166 (column 1), A117167 (column 2), A117168 (column 3); A117160.

Sequence in context: A342651 A275768 A117167 * A274263 A046920 A107599

Adjacent sequences: A117166 A117167 A117168 * A117170 A117171 A117172

Keyword

sign

Author

Wouter Meeussen and Paul D. Hanna, Mar 05 2006

Status

approved