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A088880 Number of different values of A000005(m) when A056239(m) is equal to n. 2
1, 1, 2, 2, 5, 4, 8, 6, 12, 10, 16, 13, 25, 18, 28, 25, 40, 32, 51, 40, 62, 51, 76, 62, 99, 77, 112, 92, 138, 109, 165, 130, 189, 153, 220, 178, 267, 208, 292, 240, 347, 274, 397, 315, 445, 361, 512 (list; graph; refs; listen; history; internal format)
OFFSET

0,3

COMMENTS

Number of distinct values of Product_{k=1..n} (m(k,P)+1) where m(k,P) is multiplicity of part k in partition P, as P ranges over all partitions of n. - Vladeta Jovovic (vladeta(AT)eunet.rs), May 24 2008

MAPLE

multipl := proc(P, p)

        local a;

        a := 0 ;

        for el in P do

                if el = p then

                        a := a+1 ;

                end if;

        end do;

        a ;

end proc:

A088880 := proc(n)

        local pro, pa, m, p;

        pro := {} ;

        for pa in combinat[partition](n) do

                m := 1 ;

                for p from 1 to n do

                        m := m*(1+multipl(pa, p)) ;

                end do:

                pro := pro union {m} ;

        end do:

        nops(pro) ;

end proc: # R. J. Mathar, Sep 27 2011

CROSSREFS

Cf. A088314.

Sequence in context: A081177 A007281 A101085 * A008818 A089599 A127683

Adjacent sequences:  A088877 A088878 A088879 * A088881 A088882 A088883

KEYWORD

easy,nonn

AUTHOR

Naohiro Nomoto (pcmusume(AT)m11.alpha-net.ne.jp), Nov 28 2003

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Last modified February 17 18:01 EST 2012. Contains 206061 sequences.