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 A287896 a(n) = A002487(n)*A001511(n). 10
 1, 2, 2, 3, 3, 4, 3, 4, 4, 6, 5, 6, 5, 6, 4, 5, 5, 8, 7, 9, 8, 10, 7, 8, 7, 10, 8, 9, 7, 8, 5, 6, 6, 10, 9, 12, 11, 14, 10, 12, 11, 16, 13, 15, 12, 14, 9, 10, 9, 14, 12, 15, 13, 16, 11, 12, 10, 14, 11, 12, 9, 10, 6, 7, 7, 12, 11, 15, 14, 18, 13, 16, 15, 22, 18, 21, 17, 20, 13, 15, 14, 22, 19, 24, 21, 26, 18, 20, 17 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Proposed name: N-fusc. Each number n>0 appears in this sequence exactly n times. From Yosu Yurramendi, Apr 08 2019: (Start) The terms (n>0) may be written as a left-justified array with rows of length 2^m: 1, 2, 2, 3, 3,  4,  3, 4, 4,  6,  5,  6,  5,  6,  4, 5, 5,  8,  7,  9,  8, 10,  7,  8,  7, 10,  8,  9,  7,  8,  5, 6, 6, 10,  9, 12, 11, 14, 10, 12, 11, 16, 13, 15, 12, 14,  9, 10,  9, ... ... as well as right-justified fashion:                                                                       1,                                                                    2, 2,                                                             3, 3,  4, 3,                                             4,  4,  6,  5,  6, 5,  6, 4,              5, 5,  8,  7,  9,  8, 10,  7,  8,  7, 10,  8,  9, 7,  8, 5, ... 14,  9, 10, 9, 14, 12, 15, 13, 16, 11, 12, 10, 14, 11, 12, 9, 10, 6, From these two dispositions interesting properties can be induced (see FORMULA section) (End) LINKS I. V. Serov, Table of n, a(n) for n = 1..8192 FORMULA a(1) = 1; for n>1: a(n) = (A002487(n-1) + A002487(n) + A002487(n+1))/2. a(n) = A007306(n) - A288002(n). From Yosu Yurramendi, Apr 08 2019: (Start) For m >= 0, 0 <= k < 2^m, a(2^(m+1)+k) - a(2^m+k) = a(k). a(0) = 1 is needed. For m >= 0, 0 <= k < 2^m, a(2^(m+1)-1-k) - a(2^(m)-1-k) = a(k). (End) MATHEMATICA Table[Block[{a = 1, b = 0, m = n}, While[m > 0, If[OddQ@ m, b = a + b, a = a + b]; m = Floor[m/2]]; b] IntegerExponent[2 n, 2], {n, 89}] (* Michael De Vlieger, Jun 14 2017, after Jean-François Alcover at A002487 *) CROSSREFS Cf. A001511, A002487, A007306, A288002. Sequence in context: A319856 A100197 A057022 * A087504 A067539 A166312 Adjacent sequences:  A287893 A287894 A287895 * A287897 A287898 A287899 KEYWORD nonn AUTHOR I. V. Serov, Jun 02 2017 STATUS approved

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Last modified May 21 00:36 EDT 2022. Contains 353886 sequences. (Running on oeis4.)