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A131384 Product of the digital sums of n for all the bases 1 to n (a 'digital-sum factorial'). 2
1, 1, 2, 2, 12, 24, 216, 192, 720, 3840, 97200, 69120, 2721600, 14515200, 130636800, 30965760, 3810240000, 3762339840, 384072192000, 445906944000, 10184771520000, 123605404876800, 12674382336000000, 2542739757465600 (list; graph; refs; listen; history; internal format)
OFFSET

1,3

FORMULA

a(n)=product{1<=p<=n, ds_p(n)} where ds_p = digital sum base p.

a(n)=product{1<=p<=n, n-(p-1)*sum{k>0, floor(n/p^k)}}.

CROSSREFS

Cf. A131383.

Sequence in context: A164961 A122007 A137782 * A052612 A130306 A199127

Adjacent sequences:  A131381 A131382 A131383 * A131385 A131386 A131387

KEYWORD

nonn

AUTHOR

Hieronymus Fischer (Hieronymus.Fischer(AT)gmx.de), Jul 05 2007

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Last modified February 15 07:05 EST 2012. Contains 205694 sequences.