A265334 Numbers that are >= k! but < 2*k! for some k; numbers whose factorial base representation (A007623) begins with digit "1".

1, 2, 3, 6, 7, 8, 9, 10, 11, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150

Offset: 1

Author

Antti Karttunen, Dec 25 2015

Keywords

• nonn

Comments

Numbers k for which A099563(k) = 1.

Numbers k for which A265333(k) = 1.

Examples

			1 is present as 1 >= 1! but < 2*1!
2 is present as 2 >= 2! but < 2*2!
3 is present as 3 >= 2! but < 2*2!
4 is not present as 4 >= 2! but not < 2*2! (and not >= 3!).
		

Links

• Antti Karttunen, Table of n, a(n) for n = 1..5915
• Index entries for sequences related to factorial base representation

Crossrefs

Cf. A007623, A099563, A265333 (characteristic function).

Cf. A059590, A060112 (subsequences).

Cf. also A265897, A265898.