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

1,2

Comments

Numbers k for which A099563(k) = 1.

Numbers k for which A265333(k) = 1.

Links

Antti Karttunen, Table of n, a(n) for n = 1..5915

Index entries for sequences related to factorial base representation

Example

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!).

Prog

(Scheme, with Antti Karttunen's IntSeq-library)
(define A265334 (NONZERO-POS 1 1 A265333))

Crossrefs

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

Cf. A059590, A060112 (subsequences).

Cf. also A265897, A265898.

Sequence in context: A039071 A272799 A300157 * A050019 A163099 A047287

Adjacent sequences: A265331 A265332 A265333 * A265335 A265336 A265337

Keyword

nonn

Author

Antti Karttunen, Dec 25 2015

Status

approved