A112569 Antidiagonal sums of square table A112564 of generalized Flavius Josephus sieves.

1, 2, 4, 9, 19, 43, 88, 207, 423, 951, 2094, 4511, 9445, 22025, 45172, 93483, 205101, 435515, 882322, 1983637, 3983429, 8659805, 17928712, 36742421, 76317521, 163095069, 331056988, 693360803, 1444266731

Offset: 1

Author

Paul D. Hanna, Oct 14 2005

Keywords

• more
• nonn

Links

• Index entries for sequences related to the Josephus Problem

Crossrefs

Cf. A000960, A112564.

Programs

PARI

A112564(n, k)= {my(A=k, B=0, C=0); if(n==0 || k==0, 1, until(A==B, C=C+1; if(C%n==0, C=C+1); B=A; A=floor(A*(C+1)/C)); 1+A)}; a(n) = sum(k=0, n, A112564(n-k, k)); \\ Michel Marcus, Apr 23 2013

Extensions

More terms from R. J. Mathar, Sep 26 2006