cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A302940 Lexicographically first sequence of distinct terms such that the product of any two terms is not a term of the sequence, and the product of any two digits is not a digit of the sequence.

Original entry on oeis.org

2, 3, 4, 5, 7, 9, 44, 47, 49, 54, 55, 57, 59, 74, 75, 77, 79, 95, 97, 99, 444, 445, 447, 449, 454, 455, 457, 459, 474, 477, 479, 494, 497, 499, 544, 545, 547, 549, 554, 555, 557, 559, 574, 575, 577, 579, 594, 595, 597, 599, 744, 745, 747, 749, 754, 755, 757, 759, 774, 775, 777, 779, 794, 795, 797, 799
Offset: 1

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Author

Jean-Marc Falcoz and Eric Angelini, Apr 16 2018

Keywords

Comments

a(1) = 0 is forbidden as [0 x a(n)] = 0, a term of the sequence;
a(1) = 1 is forbidden as [1 x a(n)] = a(n), a term of the sequence;
a(1) = 2 is ok;
a(2) = 3 is ok;
a(3) = 4 is ok, but no more digits 2 as (2 x 2) = 4;
a(4) = 5 is ok as (5 x 2), (5 x 3), (5 x 4)... are > 9;
a(5) = 6 is forbidden as (2 x 3) = 6;
a(5) = 7 is ok as (7 x 2), (7 x 3), (7 x 4)... are > 9;
a(6) = 8 is forbidden as (2 x 4) = 8;
a(6) = 9 is ok, but no more digits 3 as (3 x 3) = 9.
The other terms of the sequence use only digits 4,5,7 and 9.

Examples

			2 x 3 = 6 and there is no term or digit 6 in the sequence;
2 x 4 = 8 and there is no term or digit 8 in the sequence;
2 x 5 = 10 and there is no term 10 in the sequence;
2 x 6 = 12 and there is no term 12 in the sequence;
2 x 7 = 14 and there is no term 14 in the sequence;
2 x 9 = 18 and there is no term 18 in the sequence;
3 x 4 = 12 and there is no term 12 in the sequence;
3 x 5 = 15 and there is no term 15 in the sequence;
etc.
		

Crossrefs

Cf. A302938 where the word “product” is replaced by “sum”.
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