A112590 Lengths of the loop of the sequences "Sum of last n digits" beginning with (n-1) zeros followed by digit 9.

1, 8, 10, 1, 171, 1, 461, 1, 12203, 1, 318880, 1, 57725, 1, 6698, 1, 4678, 1, 18248, 2255, 33936, 17379, 228810, 191744, 418737, 477214, 210178, 576664, 249961, 1419710, 2100776, 1328500, 2481139, 7496712, 3227711, 291770, 4636321, 15949331, 17333522, 5305759

Offset

1,2

Links

Table of n, a(n) for n=1..40.

Example

a(3)=10 because the sum of last three *digits* of the sequence beginning with 0,0,9, (two zeros followed by a 9) enters in a loop whose length is 10 terms; so a(3)=10.
a(4)=1 because "Sum of last four digits" beginning with 0,0,0,9 enters in a cycle of one term (the same term repeated).
Computed by Michael D Beeler.

Crossrefs

Cf. A112395.

Sequence in context: A038704 A229196 A227571 * A105386 A124685 A105021

Adjacent sequences: A112587 A112588 A112589 * A112591 A112592 A112593

Keyword

base,easy,nonn

Author

Alexandre Wajnberg, Dec 17 2005

Extensions

More terms from Bert Dobbelaere, May 08 2026

Status

approved