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

Author

Wouter Meeussen and Paul D. Hanna, Mar 05 2006

Keywords

• sign

Crossrefs

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

Programs

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])}