A276003 Numbers n for which A060502(n) = 3; numbers with exactly three occupied slopes in their factorial representation.

9, 27, 31, 32, 34, 35, 37, 39, 40, 41, 44, 45, 51, 57, 61, 63, 64, 65, 68, 69, 79, 81, 82, 83, 104, 105, 123, 127, 128, 130, 131, 133, 135, 136, 137, 140, 141, 145, 146, 148, 149, 150, 156, 158, 162, 163, 166, 167, 169, 170, 172, 173, 175, 176, 178, 179, 180, 182, 186, 187, 190, 191, 193, 195, 196, 197, 198, 200, 205, 207, 208, 209, 210, 211, 212

Offset: 1

Author

Antti Karttunen, Aug 16 2016

Keywords

• nonn
• base

Comments

Also numbers n such that A060498(n) is a three-ball juggling pattern.

Examples

			27 ("1011" in factorial base) is included as there are three distinct values attained by the difference digit_position - digit_value when computed for its nonzero digits: 4-1 = 3, 2-1 = 1 and 1-1 = 0.
51 ("2011" in factorial base) is included as there are three distinct values attained by the difference digit_position - digit_value when computed for its nonzero digits: 4-2 = 2, 2-1 = 1 and 1-1 = 0.
57 ("2111" in factorial base) is included as there are three distinct values attained by the difference digit_position - digit_value when computed for its nonzero digits: 4-2 = 3-1 = 2, 2-1 = 1 and 1-1 = 0.
		

Links

• Antti Karttunen, Table of n, a(n) for n = 1..15620
• Index entries for sequences related to factorial base representation

Crossrefs

Cf. A060130, A060498, A060502, A276001, A276002.

Formula

Other identities. For all n >= 1:

A060130(a(n)) >= 3.