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A276003
Numbers n for which A060502(n) = 3; numbers with exactly three occupied slopes in their factorial representation.
4
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
1,1
COMMENTS
Also numbers n such that A060498(n) is a three-ball juggling pattern.
FORMULA
Other identities. For all n >= 1:
A060130(a(n)) >= 3.
EXAMPLE
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.
PROG
(Scheme, with Antti Karttunen's IntSeq-library)
(define A276003 (MATCHING-POS 1 0 (lambda (n) (= 3 (A060502 n)))))
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Antti Karttunen, Aug 16 2016
STATUS
approved