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A285902 Total number of partitions of all positive integers <= n into an even number of consecutive parts. 4
0, 0, 1, 1, 2, 2, 3, 3, 4, 5, 6, 6, 7, 8, 9, 9, 10, 11, 12, 12, 14, 15, 16, 16, 17, 18, 20, 20, 21, 22, 23, 23, 25, 26, 27, 28, 29, 30, 32, 32, 33, 34, 35, 36, 38, 39, 40, 40, 41, 42, 44, 45, 46, 47, 49, 49, 51, 52, 53, 54, 55, 56, 58, 58, 60, 61, 62, 63, 65, 66, 67, 67, 68, 69, 72, 73, 74, 76, 77, 77, 79, 80, 81, 82 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,5
COMMENTS
a(n) is also the total number of odd divisors of k greater than sqrt(2*k), for k = 1..n.
Conjecture: a(n) is also the total number of pairs of equidistant subparts of all symmetric representations of sigma of all positive integers <= n.
For more information about the "subparts" of the symmetric representation of sigma see A279387 and A237593.
LINKS
FORMULA
a(n) = A060831(n) - A285901(n).
CROSSREFS
Partial sums of A131576.
Sequence in context: A346693 A265436 A060151 * A097330 A086861 A113865
KEYWORD
nonn
AUTHOR
Omar E. Pol, May 02 2017
STATUS
approved

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Last modified April 14 18:28 EDT 2024. Contains 371667 sequences. (Running on oeis4.)