A106156 Pi pseudo-golombization. Size of the chunks of Pi's decimal digits (including the first "3") is given by the digits themselves.

314, 1, 5926, 5, 35897, 932384626, 43, 383279, 50288, 419, 71693, 99375105, 820974944, 5923078, 164062862089986280348253421170679821480865132823066470938446095505822317253594081284811174502

Offset

1,1

Comments

Two problems arise: what would be a "size 0" chunk (the 33rd digit of Pi is a 0)? This has been fixed by linking the responsible 0 digit to its immediate predecessor, thus leading to a chunk of 10 or more digits in the "golombization". Second problem: what if some chunks have a leading zero? This has been fixed by the same procedure: the responsible digit of Pi is linked to its predecessor, thus producing a larger chunk (this explains why the 15th chunk of the sequence is 93 digits long: the 9-digit-long chunk would fit (164062862), but the following 3-digit-long chunk would start with a 0 (089)).

Links

Table of n, a(n) for n=1..15.

Example

314 1 5926 5 35897 932384626 43 383279 50288 419 71693 99375105 ...
3 1 4 1 5 9 2 6 5 3 5 8

Crossrefs

Sequence in context: A083997 A164772 A068650 * A286289 A219961 A107116

Adjacent sequences: A106153 A106154 A106155 * A106157 A106158 A106159

Keyword

base,easy,nonn

Author

Eric Angelini, May 08 2005

Status

approved