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A022864 a(n) = [ a(n-1)/a(1) ] + [ a(n-2)/a(2) ] + ... + [ a(1)/a(n-1) ], for n >= 3. 2
1, 2, 2, 3, 5, 7, 10, 16, 25, 41, 65, 105, 169, 274, 443, 720, 1169, 1898, 3082, 5007, 8135, 13216, 21473, 34891, 56692, 92118, 149682, 243219, 395210, 642182, 1043490, 1695582, 2755177, 4476933, 7274641, 11820688, 19207633, 31210810 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Clark Kimberling, Table of n, a(n) for n = 1..1000

FORMULA

a(n) ~ c * d^n, where d = 1.624917080308792668777176060024247061410853634382520938693643315503399..., c = 0.303891959005299690223882625168892655788121567053552039563488551080739... . - Vaclav Kotesovec, Jun 24 2016

MATHEMATICA

a[1] = 1; a[2] = 2; a[3] = 2;

a[n_] := a[n] = Floor[Sum[a[n - k]/a[k], {k, 1, n - 1}]];

Table[a[n], {n, 1, 100}]

(* Clark Kimberling, Jun 23 2016 *)

CROSSREFS

Cf. A022863.

Sequence in context: A001083 A173696 A120412 * A316075 A322429 A039894

Adjacent sequences:  A022861 A022862 A022863 * A022865 A022866 A022867

KEYWORD

nonn

AUTHOR

Clark Kimberling

STATUS

approved

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Last modified May 9 18:43 EDT 2021. Contains 343744 sequences. (Running on oeis4.)