A022855 a(n) = [ a(n-1)/a(1) ] + [ a(n-1)/a(2) ] + ... + [ a(n-1)/a(n-1) ] for n >= 3.

1, 1, 2, 5, 13, 35, 97, 271, 761, 2143, 6042, 17043, 48081, 135656, 382752, 1079939, 3047074, 8597406, 24257838, 68444231, 193117503, 544886995, 1537415492, 4337865331, 12239421132, 34533905116, 97438480950

Offset

1,3

Links

Table of n, a(n) for n=1..27.

Formula

a(n) ~ c * d^n, where d = 2.821530916787913161647514028120517886471375614018590071788760268658400644805..., c = 0.06693303886818014323088828992453194331872567432210373455545066012434187... - Vaclav Kotesovec, May 22 2019

Mathematica

Clear[a]; a[n_] := a[n] = If[n == 1, 1, Sum[Floor[a[n-1]/a[k]], {k, 1, n-1}]]; Table[a[n], {n, 1, 30}] (* Vaclav Kotesovec, May 22 2019 *)

Crossrefs

Cf. A022858, A022874.

Sequence in context: A235611 A307789 A005773 * A091190 A264228 A007689

Adjacent sequences: A022852 A022853 A022854 * A022856 A022857 A022858

Keyword

nonn

Author

Clark Kimberling

Status

approved