A057176 a(0) = 1; for n >= 1, a(n) = Sum_{j=0..a(n-1) mod n} a(j).

1, 1, 2, 4, 1, 2, 4, 9, 2, 4, 9, 30, 15, 4, 9, 30, 97, 84, 84, 26, 15, 127, 308, 30, 15, 127, 898, 24, 913, 97, 24, 913, 308, 69, 2, 4, 9, 30, 2996, 4217, 308, 560, 97, 69, 1040, 11, 69, 868, 9, 30, 2996, 7327, 14566, 13618, 39, 11544, 26, 1938, 913

Offset

0,3

Links

Michael De Vlieger, Table of n, a(n) for n = 0..10000

Formula

a(0) = 1; for n >= 1, a(n) = Sum_{j=0..a(n-1) mod n} a(j).

Mathematica

a[m_] := Sum[a[j], {j, 0, Mod[a[m-1], m]}]; vv={1}; Do[a[n]=If[n==0, 1, b]; v=a[n+1]; vv=Insert[vv, v, -1]; b=v, {n, 0, 50}]; vv

Crossrefs

Sequence in context: A352883 A035492 A101229 * A194671 A331696 A364837

Adjacent sequences: A057173 A057174 A057175 * A057177 A057178 A057179

Keyword

nonn

Author

Leroy Quet, Aug 03 2003

Extensions

More terms from Farideh Firoozbakht, Aug 03 2003

Status

approved