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A178803 Write the factorial of each term in A036043(n). 5
1, 1, 2, 1, 2, 6, 1, 2, 2, 6, 24, 1, 2, 2, 6, 6, 24, 120, 1, 2, 2, 2, 6, 6, 6, 24, 24, 120, 720, 1, 2, 2, 2, 6, 6, 6, 6, 24, 24, 24, 120, 120, 720, 5040, 1, 2, 2, 2, 2, 6, 6, 6, 6, 6, 24, 24, 24, 24, 24, 120, 120, 120, 720, 720, 5040, 40320, 1, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 24, 24, 24, 24, 24 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Sequence A036043 measures the length of numeric partitions.

LINKS

Table of n, a(n) for n=1..83.

EXAMPLE

A036043 begins 1 1 2 1 2 3 1 2 2 3 4 1 2 2 3 3 4 5 ...

so this table begins 1 1 2 1 2 6 1 2 2 6 24 ...

1;

1, 2;

1, 2, 6;

1, 2, 2, 6, 24;

1, 2, 2, 6, 6, 24, 120;

1, 2, 2, 2, 6, 6, 6, 24, 24, 120, 720;

1, 2, 2, 2, 6, 6, 6, 6, 24, 24, 24, 120, 120, 720, 5040;

1, 2, 2, 2, 2, 6, 6, 6, 6, 6, 24, 24, 24, 24, 24, 120, 120, 120, 720, 720, 5040, 40320;

PROG

(SageMath)

def A178803_row(n):

    return [factorial(len(p)) for k in (0..n) for p in Partitions(n, length=k)]

for n in (0..10): print(A178803_row(n)) # Peter Luschny, Nov 02 2019

CROSSREFS

Cf. A000041 (shape sequence), A000142 (factorials), A036043, A101880 (row sums).

Sequence in context: A144358 A049404 A159885 * A292901 A083773 A129116

Adjacent sequences:  A178800 A178801 A178802 * A178804 A178805 A178806

KEYWORD

easy,nonn,tabf

AUTHOR

Alford Arnold, Jun 17 2010

STATUS

approved

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Last modified June 13 00:04 EDT 2021. Contains 344980 sequences. (Running on oeis4.)