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A296512 a(n) is the largest subpart of the symmetric representation of sigma(n). 1
1, 3, 2, 7, 3, 11, 4, 15, 5, 9, 6, 23, 7, 12, 8, 31, 9, 35, 10, 39, 11, 18, 12, 47, 13, 21, 14, 55 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

If n is an odd prime (A065091) then a(n) = (n + 1)/2.

If n is a power of 2 (A000079) then a(n) = 2*n - 1.

If n is a perfect number (A000396) then a(n) = 2*n - 1, assuming there are no odd perfect numbers.

a(n) is also the largest element in the n-th row of the triangles A279391, A280851 and A296508.

The symmetric representation of sigma(n) has A001227(n) subparts.

For the definition of the "subpart" see A279387.

For a diagram with the subparts for the first 16 positive integers see A296508.

LINKS

Table of n, a(n) for n=1..28.

EXAMPLE

For n = 15 the subparts of the symmetric representation of sigma(15) are [8, 7, 1, 8], the largest subpart is 8, so a(15) = 8.

CROSSREFS

Shares infinitely many terms with A241558, A241559, A241838, A296513 (and possibly more).

Cf. A000079, A000203, A000225, A000396, A001227, A065091, A196020, A235791, A236104, A237048, A237591, A237593, A245092, A279387, A279391, A280850, A280851, A296508.

Sequence in context: A276466 A289336 A324509 * A241558 A295422 A241838

Adjacent sequences:  A296509 A296510 A296511 * A296513 A296514 A296515

KEYWORD

nonn,more

AUTHOR

Omar E. Pol, Feb 10 2018

STATUS

approved

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Last modified February 18 02:57 EST 2020. Contains 332006 sequences. (Running on oeis4.)