cp's OEIS Frontend

A276006 Numbers with at least one hit in their factorial base representations (see comments for the definition); positions of nonzeros in A276004 & A276007.

%I A276006 #6 Aug 17 2016 22:19:46
%S A276006 3,8,9,10,11,13,15,17,21,27,30,31,32,33,34,35,36,37,38,39,40,41,42,43,
%T A276006 44,45,46,47,50,51,52,53,56,57,58,59,61,62,63,64,65,68,69,70,71,73,75,
%U A276006 77,79,80,81,82,83,85,87,89,91,93,95,99,104,105,106,107,109,111,113,117,123,128,129,130,131,133,135,137,141,144,145,146,147,148
%N A276006 Numbers with at least one hit in their factorial base representations (see comments for the definition); positions of nonzeros in A276004 & A276007.
%C A276006 We say there is a "hit" in factorial base representation (A007623) of n when there is any such pair of nonzero digits d_i and d_j in positions i > j so that (i - d_i) = j. Here the rightmost (least significant digit) occurs at position 1. This sequence gives all numbers that contain at least one such hit, meaning that there exists such a nonzero digit d_i in some position i of their factorial base representation that the digit at the position (i - d_i) is nonzero.
%H A276006 Antti Karttunen, <a href="/A276006/b276006.txt">Table of n, a(n) for n = 1..10000</a>
%H A276006 <a href="/index/Fa#facbase">Index entries for sequences related to factorial base representation</a>
%e A276006 3 ("11" in factorial base) is included because the most significant 1 at position 2 hits the least significant 1 at position 1 as (2-1) = 1.
%e A276006 17 ("221") is included because the most significant 2 at position 3 hits the 1 at position 1 as (3-2) = 1.
%o A276006 (Scheme, with _Antti Karttunen_'s IntSeq-library)
%o A276006 (define A276006 (NONZERO-POS 1 0 A276004))
%o A276006 (define A276006 (NONZERO-POS 1 0 A276007))
%Y A276006 Complement: A276005.
%Y A276006 Indices of nonzeros in A276004 and A276007.
%K A276006 nonn,base
%O A276006 1,1
%A A276006 _Antti Karttunen_, Aug 17 2016