%I #22 Sep 06 2023 21:14:09

%S 1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,5,5,5,

%T 5,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,

%U 7,7,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8

%N k appears 3k-2 times.

%F a(n) = ceiling((1+sqrt(24*n+1))/6) = floor((7+sqrt(24*n-23))/6).

%o (PARI) a(n) = (7+sqrt(24*n-23))\6; \\ _Michel Marcus_, Oct 30 2019

%Y Cf. A016777 (3n-2 with offset 1).

%Y Partial sums of A255849.

%K nonn

%O 1,2

%A _Daniele Parisse_, Jun 02 2003, Jul 07 2007