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A088887 Number of different prime signatures of the m values when A056239(m) is equal to n. 4
1, 1, 2, 3, 5, 5, 10, 10, 16, 18, 24, 27, 41, 42, 54, 63, 82, 88, 114, 123, 153, 169, 205, 224, 279, 296, 356, 389, 463, 499, 592, 638, 750, 803, 939, 996, 1173, 1253, 1441, 1543, 1772, 1891, 2158, 2305, 2619, 2780, 3166, 3358, 3805, 4026, 4522, 4810, 5405 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Cardinality of set of multisets of multiplicities of parts of all partitions of n. - Vladeta Jovovic, May 25 2008

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..100

EXAMPLE

a(7) = 10: [1], [7], [1,1], [1,2], [1,3] [1,4], [1,5], [2,3], [1,1,1], [1,1,2].

MAPLE

b:= proc(n, i) option remember; `if`(n=0, {[]}, `if`(i<1, {},

      {b(n, i-1)[], seq(map(x->sort([x[], j]),

                    b(n-i*j, i-1))[], j=1..n/i)}))

    end:

a:= n-> nops(b(n, n)):

seq(a(n), n=0..50);  # Alois P. Heinz, Feb 19 2013

CROSSREFS

Cf. A088314.

Sequence in context: A257012 A265562 A140312 * A265546 A066911 A071850

Adjacent sequences:  A088884 A088885 A088886 * A088888 A088889 A088890

KEYWORD

easy,nonn

AUTHOR

Naohiro Nomoto, Nov 28 2003

EXTENSIONS

More terms from Vladeta Jovovic, May 25 2008

STATUS

approved

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Last modified March 28 22:27 EDT 2017. Contains 284249 sequences.