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 A187821 Number of non-squashing partitions of n into odd parts. 3
 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 4, 3, 4, 5, 6, 5, 6, 7, 9, 7, 9, 11, 12, 11, 12, 15, 17, 15, 17, 21, 22, 21, 22, 27, 29, 27, 29, 36, 36, 36, 36, 45, 47, 45, 47, 57, 58, 57, 58, 69, 73, 69, 73, 86, 88, 86, 88, 103, 109, 103, 109, 125, 130, 125, 130, 147, 157, 147, 157, 176, 184, 176, 184, 205, 220, 205, 220, 241, 256, 241, 256 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,6 COMMENTS A non-squashing partition of n is a partition p(1) + p(2) + ... + p(m) = n such that p(k) >= sum(j=k+1..m, p(j) ). LINKS Joerg Arndt, Table of n, a(n) for n = 0..1000 EXAMPLE The a(33) = a(35) = 27 non-squashing partitions of 33 and 35 into odd parts are [ 1]   [ 17 9 5 1 1 ]       [ 1]   [ 19 9 5 1 1 ] [ 2]   [ 17 9 7 ]           [ 2]   [ 19 9 7 ] [ 3]   [ 17 11 3 1 1 ]      [ 3]   [ 19 11 3 1 1 ] [ 4]   [ 17 11 5 ]          [ 4]   [ 19 11 5 ] [ 5]   [ 17 13 3 ]          [ 5]   [ 19 13 3 ] [ 6]   [ 17 15 1 ]          [ 6]   [ 19 15 1 ] [ 7]   [ 19 7 5 1 1 ]       [ 7]   [ 21 7 5 1 1 ] [ 8]   [ 19 7 7 ]           [ 8]   [ 21 7 7 ] [ 9]   [ 19 9 3 1 1 ]       [ 9]   [ 21 9 3 1 1 ] [10]   [ 19 9 5 ]           [10]   [ 21 9 5 ] [11]   [ 19 11 3 ]          [11]   [ 21 11 3 ] [12]   [ 19 13 1 ]          [12]   [ 21 13 1 ] [13]   [ 21 7 3 1 1 ]       [13]   [ 23 7 3 1 1 ] [14]   [ 21 7 5 ]           [14]   [ 23 7 5 ] [15]   [ 21 9 3 ]           [15]   [ 23 9 3 ] [16]   [ 21 11 1 ]          [16]   [ 23 11 1 ] [17]   [ 23 5 3 1 1 ]       [17]   [ 25 5 3 1 1 ] [18]   [ 23 5 5 ]           [18]   [ 25 5 5 ] [19]   [ 23 7 3 ]           [19]   [ 25 7 3 ] [20]   [ 23 9 1 ]           [20]   [ 25 9 1 ] [21]   [ 25 5 3 ]           [21]   [ 27 5 3 ] [22]   [ 25 7 1 ]           [22]   [ 27 7 1 ] [23]   [ 27 3 3 ]           [23]   [ 29 3 3 ] [24]   [ 27 5 1 ]           [24]   [ 29 5 1 ] [25]   [ 29 3 1 ]           [25]   [ 31 3 1 ] [26]   [ 31 1 1 ]           [26]   [ 33 1 1 ] [27]   [ 33 ]               [27]   [ 35 ] CROSSREFS Cf. A018819 and A000123 (non-squashing partitions, also binary partitions). Cf. A088567 (non-squashing partitions into distinct parts) Sequence in context: A216505 A265626 A230230 * A114775 A071136 A025425 Adjacent sequences:  A187818 A187819 A187820 * A187822 A187823 A187824 KEYWORD nonn AUTHOR Joerg Arndt, Dec 27 2012 STATUS approved

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Last modified July 20 01:17 EDT 2019. Contains 325168 sequences. (Running on oeis4.)