A341820 Lexicographically earliest sequence of distinct terms > 0 such that the n-th digit of the sequence is present in the product a(n)*a(n+1).

1, 10, 11, 19, 6, 2, 5, 18, 7, 3, 15, 8, 16, 17, 9, 12, 13, 14, 37, 26, 4, 43, 21, 31, 20, 50, 27, 23, 28, 44, 29, 25, 24, 35, 40, 33, 22, 46, 30, 34, 36, 39, 41, 49, 38, 45, 47, 51, 32, 54, 56, 58, 42, 57, 48, 53, 52, 62, 55, 59, 60, 61, 63, 64, 66, 65, 67, 68, 74, 69, 70, 71, 73, 72, 81, 79, 76

Offset

1,2

Links

Carole Dubois, Table of n, a(n) for n = 1..5000

Example

The 1st digit of the sequence [1] is present in a(1)*a(2) =  1 * 10 =  10;
the 2nd digit of the sequence [1] is present in a(2)*a(3) = 10 * 11 = 110;
the 3rd digit of the sequence [0] is present in a(3)*a(4) = 11 * 19 = 209;
the 4th digit of the sequence [1] is present in a(4)*a(5) = 19 *  6 = 114;
the 5th digit of the sequence [1] is present in a(5)*a(6) =  6 *  2 =  12;
the 6th digit of the sequence [1] is present in a(6)*a(7) =  2 *  5 =  10;
the 7th digit of the sequence [9] is present in a(7)*a(8) =  5 * 18 =  90;
etc.

Crossrefs

Cf. A341818 (sum), A341819 (absolute difference), A341821 (cumulative sum).

Sequence in context: A214792 A214897 A037307 * A296862 A225079 A214790

Adjacent sequences: A341817 A341818 A341819 * A341821 A341822 A341823

Keyword

base,nonn

Author

Eric Angelini and Carole Dubois, Feb 20 2021

Status

approved