A275956 Numbers n for which A060502(n) = A275806(n); numbers whose factorial base representation has an equal number of distinct nonzero digits and occupied slopes.

0, 1, 2, 4, 6, 10, 11, 12, 13, 15, 17, 18, 20, 21, 24, 28, 29, 36, 38, 42, 43, 48, 49, 50, 53, 55, 56, 58, 59, 62, 66, 68, 69, 70, 72, 73, 75, 76, 78, 80, 82, 83, 88, 91, 92, 93, 94, 96, 98, 99, 102, 103, 108, 112, 120, 124, 125, 132, 134, 138, 139, 166, 167, 168, 174, 186, 187, 190, 191, 192, 194, 196, 197, 205, 207, 208, 209, 214, 215, 216, 217, 226

Offset: 0

Author

Antti Karttunen, Aug 16 2016

Keywords

• nonn
• base

Comments

Nonnegative integer n is included here iff the number of distinct nonzero digits elements present in its factorial base representation is equal to the number of distinct elements in a multiset [(i_x - d_x) | where d_x ranges over each (not all necessarily distinct) nonzero digit present and i_x is that digit's position from the right].

If n is included, then A153880(n), A255411(n) and A225901(n) are also included.

Examples

			11 ("121" in factorial base) is included, as there are two occupied slopes (3-1 = 2 and 2-2 = 1-1 = 0) and also two distinct nonzero digits, namely 1 and 2.
59 ("2121" in factorial base) is included, as there are two occupied slopes (4-2 = 3-1 and 2-2 = 1-1) and also two distinct nonzero digits, namely 1 and 2.
226 ("14120") is included, as there are three occupied slopes (5-1 = 4, 4-4 = 2-2 = 0, 3-1 = 2) and also three distinct nonzero digits, 1, 2 and 4.
		

Links

• Antti Karttunen, Table of n, a(n) for n = 0..12558
• Index entries for sequences related to factorial base representation

Crossrefs

Cf. A060502, A275806.

Cf. A153880, A255411, A225901.

Cf. A000142, A275959 (subsequences).