A108663 In the decimal expansion of Pi, lengths of sublists with alternative parity.

2, 1, 3, 2, 3, 1, 4, 1, 1, 6, 2, 1, 1, 1, 3, 5, 4, 1, 8, 1, 1, 3, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 10, 2, 5, 1, 3, 2, 2, 3, 2, 2, 2, 1, 5, 3, 3, 1, 4, 1, 1, 2, 5, 3, 1, 1, 3, 3, 1, 4, 3, 1, 4, 4, 1, 1, 4, 1, 2, 1, 1, 3, 1, 1, 1, 2, 1, 4, 6, 1, 2, 2, 1, 2, 1, 1, 1, 2, 6, 1, 1, 3, 2, 4, 3, 1, 3, 2, 4, 3, 2, 1, 1, 2

Offset

1,1

Comments

Take the decimal expansion of Pi: s={3,1,4,1,5,9,2,6,5,3,5,8,9,7,9,3,2,3,8,4,6,2,6,4,3,3,8,3,2,7,9,5,0,2,8,8,4,1,9}. Split s into sublists each with digits of the same parity:{{3,1},{4},{1,5,9},{2,6},{5,3,5},{8},{9,7,9,3},{2},{3},{8,4,6,2,6,4},{3,3},{8},{3}}. The sequence gives the lengths of the sublists: 2,1,3,2,3,1,4,1,1,6,2,1,1,1,3,5,4,1,8.

Links

Table of n, a(n) for n=1..105.

Mathematica

A108663=Length/@Split[RealDigits[N[Pi, 300]][[1]], Mod[ #1-#2, 2]==0&]

Crossrefs

Sequence in context: A159918 A349552 A278573 * A379631 A307314 A057940

Adjacent sequences: A108660 A108661 A108662 * A108664 A108665 A108666

Keyword

base,nonn

Author

Zak Seidov, Jun 17 2005

Status

approved