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A277674 a(n) = d(n+1) - d(n), where d(k) is the number of digits in the base-k representation of k!. 3
0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

2

LINKS

Clark Kimberling, Table of n, a(n) for n = 2..10000

EXAMPLE

k  base-k representation of k!

=  ===========================

2              10_2

3              20_3

4             120_4

5             440_5

6            3200_6

7           20460_7

8          116600_8

9          612700_9

a(8) = 0 because d(9) = d(8).

MATHEMATICA

d = Differences@Array[Floor@Log[#, #!] &, 10000, 2]; (* Robert G. Wilson v, Oct 27 2016 *)

CROSSREFS

Cf. A000142, A060151, A277675, A277676.

Sequence in context: A285351 A284893 A316829 * A309754 A112690 A316343

Adjacent sequences:  A277671 A277672 A277673 * A277675 A277676 A277677

KEYWORD

nonn,base,easy

AUTHOR

Clark Kimberling, Oct 26 2016

STATUS

approved

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Last modified January 25 10:12 EST 2022. Contains 350565 sequences. (Running on oeis4.)