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

0,3

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.

Links

Antti Karttunen, Table of n, a(n) for n = 0..12558

Index entries for sequences related to factorial base representation

Example

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.

Prog

(Scheme, with Antti Karttunen's IntSeq-library)
(define A275956 (ZERO-POS 0 0 (lambda (n) (- (A060502 n) (A275806 n)))))

Crossrefs

Cf. A060502, A275806.

Cf. A153880, A255411, A225901.

Cf. A000142, A275959 (subsequences).

Sequence in context: A333412 A089227 A204660 * A109133 A056077 A249428

Adjacent sequences: A275953 A275954 A275955 * A275957 A275958 A275959

Keyword

nonn,base

Author

Antti Karttunen, Aug 16 2016

Status

approved