proposed

approved

editing

proposed

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.

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

Antti Karttunen, <a href="/A276006/b276006.txt">Table of n, a(n) for n = 1..10000</a>

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

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

3, 8, 9, 10, 11, 13, 15, 17, 21, 27, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 50, 51, 52, 53, 56, 57, 58, 59, 61, 62, 63, 64, 65, 68, 69, 70, 71, 73, 75, 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

1,1

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.

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.

17 ("221") is included because the most significant 2 at position 3 hits the 1 at position 1 as (3-2) = 1.

(Scheme, with Antti Karttunen's IntSeq-library)

(define A276006 (NONZERO-POS 1 0 A276004))

(define A276006 (NONZERO-POS 1 0 A276007))

Complement: A276005.

Indices of nonzeros in A276004 and A276007.

allocated

nonn,base

Antti Karttunen, Aug 17 2016

approved

editing

allocated for Antti Karttunen

allocated

approved