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The Inverse-Shift-Moebius transform of [1,2,3,4,...].
2

%I #4 Mar 30 2012 18:37:44

%S 1,3,5,8,10,16,16,24,27,35,35,51,45,65,70,79,77,107,96,132,128,146,

%T 145,193,169,211,218,251,235,308,262,335,330,373,377,449,384,483,489,

%U 555,507,638,559,696,682,726,709,873,765,923,894,995,945,1159,1050,1223

%N The Inverse-Shift-Moebius transform of [1,2,3,4,...].

%C See triangle A117170 for the definition of the Inverse-Shift-Moebius transform.

%F a(n) = Sum_{k=1,n} A117170(n,k)*k.

%o (PARI) {a(n)=sum(k=1,n,prod(i=0,n, matrix(n,n,r,c,if(r>=c,if((r+i)%(c+i)==0,1,0))))[n,k]*k)}

%Y Cf. A117170, A117175.

%K nonn

%O 1,2

%A _Wouter Meeussen_ and _Paul D. Hanna_, Mar 05 2006

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Last modified September 23 02:59 EDT 2024. Contains 376140 sequences. (Running on oeis4.)