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A301593 n can be represented the sum of a(n) distinct factorials. (If there is no such representation, a(n) = 0.) 4
1, 1, 2, 0, 0, 1, 2, 2, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 3, 0, 0, 2, 3, 3, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Seiichi Manyama, Table of n, a(n) for n = 1..10000

Wikipedia, Factorial number system

FORMULA

a(n!) = 1, a(n!+1) = 2.

EXAMPLE

n |                        | a(n)

--+------------------------+-----

1 | 1!                     |  1

2 | 2!                     |  1

3 | 1! + 2!                |  2

6 | 3!                     |  1

7 | 3! + 1!                |  2

8 | 3! + 2!                |  2

9 | 3! + 2! + 1!           |  3

CROSSREFS

Cf. A000142, A007489, A038507, A059590, A108731, A115944, A301523.

Sequence in context: A069160 A089616 A089615 * A089731 A097098 A123679

Adjacent sequences:  A301590 A301591 A301592 * A301594 A301595 A301596

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Mar 24 2018

STATUS

approved

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Last modified May 16 15:55 EDT 2021. Contains 343949 sequences. (Running on oeis4.)