A119592 - OEIS

A119592

a(0)=1, a(1)=2, a(2)=3, a(3)=5, a(4)=7, a(5)=10; a(n) = floor(a(n-1) + 1 + (a(n-2) + 1)/6) for n>=6.

1, 2, 3, 5, 7, 10, 12, 14, 17, 20, 24, 28, 33, 38, 44, 51, 59, 68, 79, 91, 105, 121, 139, 160, 184, 211, 242, 278, 319, 366, 420, 482, 553, 634, 727, 833, 955, 1095, 1255, 1438, 1648, 1888, 2163, 2478, 2839, 3253, 3727, 4270, 4892, 5604, 6420, 7355, 8426

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,2

COMMENTS

A variant of A119565.

LINKS

Table of n, a(n) for n=0..52.

MATHEMATICA

a[0]=1; a[1]=2; a[2]=3; a[3]=5; a[4]=7; a[5]=10; a[n_]:=a[n]=Floor[a[n-1]+1+(a[n-2]+1)/6]; Array[a, 30]

NestList[nxt, {7, 10}, 10][[;; , 1]]; Join[{1, 2, 3, 5}, NestList[nxt, {7, 10}, 50][[;; , 1]]] (* Harvey P. Dale, May 12 2024 *)

CROSSREFS

Cf. A119565.