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A276003 Numbers n for which A060502(n) = 3; numbers with exactly three occupied slopes in their factorial representation. 4

%I

%S 9,27,31,32,34,35,37,39,40,41,44,45,51,57,61,63,64,65,68,69,79,81,82,

%T 83,104,105,123,127,128,130,131,133,135,136,137,140,141,145,146,148,

%U 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

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

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

%H Antti Karttunen, <a href="/A276003/b276003.txt">Table of n, a(n) for n = 1..15620</a>

%H <a href="/index/Fa#facbase">Index entries for sequences related to factorial base representation</a>

%F Other identities. For all n >= 1:

%F A060130(a(n)) >= 3.

%e 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.

%e 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.

%e 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.

%o (Scheme, with _Antti Karttunen_'s IntSeq-library)

%o (define A276003 (MATCHING-POS 1 0 (lambda (n) (= 3 (A060502 n)))))

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

%K nonn,base

%O 1,1

%A _Antti Karttunen_, Aug 16 2016

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Last modified August 23 22:20 EDT 2019. Contains 326254 sequences. (Running on oeis4.)