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A085141 Greatest nonnegative integer k such that k(3k+1)/2 <= n. 1
0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 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, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,8

LINKS

Table of n, a(n) for n=0..104.

FORMULA

a(n)=floor((sqrt(24n+1)-1)/6).

PROG

(PARI) a(n)=if(n<0, 0, (sqrtint(24*n+1)-1)\6)

CROSSREFS

n=a(A005449(n)).

Sequence in context: A000193 A059939 A071842 * A082896 A079416 A135664

Adjacent sequences:  A085138 A085139 A085140 * A085142 A085143 A085144

KEYWORD

nonn

AUTHOR

Michael Somos, Jun 19 2003

STATUS

approved

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Last modified August 13 06:22 EDT 2020. Contains 336442 sequences. (Running on oeis4.)