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A083312 Largest integer m such that 1+2+...+m divides n. 2
1, 1, 2, 1, 1, 3, 1, 1, 2, 4, 1, 3, 1, 1, 5, 1, 1, 3, 1, 4, 6, 1, 1, 3, 1, 1, 2, 7, 1, 5, 1, 1, 2, 1, 1, 8, 1, 1, 2, 4, 1, 6, 1, 1, 9, 1, 1, 3, 1, 4, 2, 1, 1, 3, 10, 7, 2, 1, 1, 5, 1, 1, 6, 1, 1, 11, 1, 1, 2, 4, 1, 8, 1, 1, 5, 1, 1, 12, 1, 4, 2, 1, 1, 7, 1, 1, 2, 1, 1, 9, 13, 1, 2, 1, 1, 3, 1, 1, 2, 4, 1, 3, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

A dual to A011772,

LINKS

Table of n, a(n) for n=1..103.

J. Sandor, On Additive Analogues of Certain Arithmetic Smarandache Functions.

J. Sandor, Geometric Theorems, Diophantine Equations, Arithmetic Functions, American Research Press, 302 p., 2002.

EXAMPLE

ps(3) = 2 because 1+2 divides 3 and 2 is the largest such number.

ps(5) = 1 because 1 divides 5, while 1+2, 1+2+3 do not divide 5.

PROG

(PARI) a(n) = {m = 1; while ((t = m*(m+1)/2) <= n, if (n % t == 0, goodm = m); m ++; ); goodm; } \\ Michel Marcus, Aug 12 2013

CROSSREFS

Cf. A000217, A011772, A007843.

Sequence in context: A175892 A010783 A306680 * A032435 A117502 A212630

Adjacent sequences:  A083309 A083310 A083311 * A083313 A083314 A083315

KEYWORD

nonn

AUTHOR

K. Reddy (kakie(AT)indiainfo.com), Jun 03 2003

EXTENSIONS

More terms from Sam Alexander, Jan 03 2004

STATUS

approved

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Last modified October 15 01:40 EDT 2019. Contains 328025 sequences. (Running on oeis4.)