A080868 First differences of A080867, modulo 10.

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 8, 6, 3, 5, 0, 9, 9, 5, 3, 1, 7, 7, 1, 4, 6, 5, 3, 8, 2, 7, 9, 1, 5, 6, 9, 1, 6, 0, 3, 7, 6, 6, 6, 7, 7, 1, 3, 5, 9, 9, 5, 3, 1, 8, 4, 2, 6, 9, 1, 0, 1, 7, 3, 9, 2, 5, 5, 8, 3, 3, 0, 7, 7, 4, 1, 9, 6, 5, 5, 6, 4, 7, 3, 8, 2, 9, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 4, 8, 6, 3, 5, 0, 9, 9, 5, 3, 1, 7, 7, 1, 4, 6, 5, 3

Offset

0,12

Comments

Periodic from a(1)=1 onward, with a period of 90 terms.

Links

Ray Chandler, Table of n, a(n) for n = 0..1000

Index entries for periodic sequences.

Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

Formula

a(n) = A080867(n+1)-A080867(n) mod 10.

Maple

A080868 := n -> ((A080867(n+1)-A080867(n)) mod 10);

Prog

(PARI) a(n)=if(n, 192837465569147703385529371019624813599531776667306196519728356417713599053684211111111110\10^(n%90)%10, 1) \\ Charles R Greathouse IV, May 29 2026

Crossrefs

Cf. A080867.

Sequence in context: A011180 A103546 A321043 * A046260 A254065 A354727

Adjacent sequences: A080865 A080866 A080867 * A080869 A080870 A080871

Keyword

nonn,base,easy

Author

Laurent Dorey (laurentdorey(AT)wanadoo.fr) and Antti Karttunen, Feb 21 2003

Status

approved