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A327619 Number of parts in all n-times partitions of n. 4
0, 1, 5, 25, 219, 1596, 19844, 208377, 3394835, 46799236, 886886076, 15668835975, 366602236558, 7582277939549, 199035634246870, 4962275379320665, 150339081311823341, 4214812414260868163, 141823733752997729872, 4533014863242019822308, 169587948261109794026999 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..300

Wikipedia, Partition (number theory)

EXAMPLE

a(2) = 5: 2, 11, 1|1.

MAPLE

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

     `if`(k=0, [1, 1], `if`(i<2, 0, b(n, i-1, k))+

         (h-> (f-> f +[0, f[1]*h[2]/h[1]])(h[1]*

        b(n-i, min(n-i, i), k)))(b(i$2, k-1))))

    end:

a:= n-> b(n$3)[2]:

seq(a(n), n=0..21);

CROSSREFS

Main diagonal of A327618.

Cf. A306187, A327623.

Sequence in context: A080632 A245166 A144575 * A005452 A061839 A143600

Adjacent sequences:  A327616 A327617 A327618 * A327620 A327621 A327622

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Sep 19 2019

STATUS

approved

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Last modified November 18 09:55 EST 2019. Contains 329261 sequences. (Running on oeis4.)