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A300183 Number of partitions of n whose minimal excluded multiplicity is odd. 1
1, 0, 1, 1, 3, 3, 5, 6, 11, 13, 18, 23, 36, 42, 60, 77, 103, 129, 171, 212, 280, 354, 443, 559, 709, 874, 1090, 1357, 1674, 2065, 2534, 3101, 3790, 4636, 5598, 6822, 8231, 9938, 11939, 14391, 17197, 20640, 24586, 29357, 34884, 41541, 49097, 58292, 68778, 81287 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

LINKS

Table of n, a(n) for n=0..49.

FORMULA

a(n) = A000041(n) - A299408(n).

EXAMPLE

a(5) = 3: [1,1,1,1,1], [2,2,1], [3,1,1].

a(6) = 5: [1,1,1,1,1,1], [2,2,1,1], [2,2,2], [3,3], [4,1,1].

a(7) = 6: [1,1,1,1,1,1,1], [2,2,1,1,1], [3,2,1,1], [3,2,2], [3,3,1], [5,1,1].

a(11) = 23: [1,1,1,1,1,1,1,1,1,1,1], [2,2,1,1,1,1,1,1,1], [2,2,2,1,1,1,1,1], [2,2,2,2,1,1,1], [3,2,2,1,1,1,1], [3,3,1,1,1,1,1], [3,3,2,2,1], [3,3,3,1,1], [4,3,2,1,1], [4,3,2,2], [4,3,3,1], [4,4,1,1,1], [4,4,2,1], [4,4,3], [5,2,2,1,1], [5,3,3], [5,4,1,1], [5,5,1], [6,2,2,1], [6,3,1,1], [7,2,1,1], [7,2,2], [9,1,1].

CROSSREFS

Cf. A000041, A299408.

Sequence in context: A091607 A276434 A183561 * A222704 A095950 A089874

Adjacent sequences:  A300180 A300181 A300182 * A300184 A300185 A300186

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Feb 27 2018

STATUS

approved

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Last modified October 21 02:29 EDT 2021. Contains 348141 sequences. (Running on oeis4.)