A373084 - OEIS

A373084

Numbers k such that the sums of digits of k and 1/k in factorial base (A007623) are equal.

1, 2, 3, 6, 12, 15, 24, 45, 70, 105, 120, 576, 700, 720, 1008, 1152, 4800, 5040, 5670, 8960, 14175, 17820, 18711, 24640, 25920, 28800, 32256, 33264, 36960, 39312, 39936, 40320, 64800, 69498, 88452, 89600, 90720, 98560, 118272, 120960, 138996, 147840, 164736, 193536

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OFFSET

1,2

COMMENTS

Numbers k such that A034968(k) = A276350(k).

All the factorials (A000142) are terms, since A034968(k!) = A276350(k!) = 1 for k >= 0.

LINKS

Table of n, a(n) for n=1..44.

Wikipedia, Factorial number system.

Index entries for sequences related to factorial base representation.

EXAMPLE

The first 6 terms are: