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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 Table of n, a(n) for n=1..84. FORMULA a(n) = A060831(n) - A285901(n). CROSSREFS Partial sums of A131576. Cf. A001227, A060831, A082647, A196020, A235791, A236104, A237048, A237270, A237591, A237593, A237270, A279387, A245092, A262626, A285901. Sequence in context: A346693 A265436 A060151 * A097330 A086861 A113865 Adjacent sequences: A285899 A285900 A285901 * A285903 A285904 A285905 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.)