A332564 Lexicographically earliest sequence of distinct positive terms such that the cumulative sum of the first a(n) terms ends in a(n).

1, 3, 9, 5, 7, 8, 14, 11, 21, 12, 20, 101, 15, 87, 201, 17, 85, 19, 83, 301, 401, 23, 79, 25, 77, 27, 75, 29, 73, 31, 71, 33, 69, 35, 67, 37, 65, 39, 63, 41, 61, 43, 59, 45, 57, 47, 55, 49, 53, 51, 151, 54, 148, 501, 601, 58, 144, 701, 801, 62, 140, 901, 1001, 66, 136, 1101, 1201, 70, 132, 1301, 1401, 74

Offset

1,2

Links

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

Example

The cumulative sum of the first term (1) ends in 1;
the cumulative sum of the first 3 terms (1+3+9=13) ends in 3;
the cumulative sum of the first 9 terms (1+3+9+5+7+8+14+11+21=79) ends in 9;
the cumulative sum of the first 5 terms (1+3+9+5+7=25) ends in 5;
the cumulative sum of the first 7 terms (1+3+9+5+7+8+14=47) ends in 7;
the cumulative sum of the first 8 terms (1+3+9+5+7+8+14+11=58) ends in 8;
the cumulative sum of the first 14 terms (1,3,9,5,7,8,14,11,21,12,20,101,15,87=314) ends in 14; etc.

Crossrefs

Sequence in context: A285264 A106586 A010633 * A199053 A200595 A197023

Adjacent sequences: A332561 A332562 A332563 * A332565 A332566 A332567

Keyword

base,nonn

Author

Eric Angelini and Carole Dubois, Feb 16 2020

Status

approved