A171059 a(n) is the lexically first sequence of distinct nonzero integers such that if S(n) is the string formed from the digits of a(1)a(2)...a(n), then dividing S(n) into substrings with lengths equal to the successive digits of S(n) (treating 0 as 10) results in substrings beginning with the successive digits of Pi (A000796).

3, 1, 2, 14, 4, 15, 5, 6, 7, 9, 8, 10, 26, 11, 12, 50, 13, 23, 16, 17, 25, 18, 19, 20, 80, 21, 22, 24, 29, 27, 28, 30, 37, 90, 31, 32, 33, 34, 35, 200, 36, 43, 84, 60, 201, 38, 61, 39, 40, 41, 42, 430, 53, 48, 44, 320, 45, 46, 79, 47, 49, 51, 52

Offset: 1

Author

N. J. A. Sloane, Sep 04 2010, based on a posting to the Sequence Fans Mailing List by Eric Angelini, Aug 24 2010

Keywords

• nonn
• base
• fini
• full

Comments

Erase the punctuation:

S(Pi) = 312144155679810261112501323161725181920802122242927283037903132333435...

Divide into chunks -- the size of each chunk is given by the successive DIGITS of S(Pi):

312.1.44.1.5567.9810.2.61112.50132.316172.5181920.802122242.92728303.7.9031323334.35

(the "0" digits produce a 10-digit chunk)

Replace all dots (.) with carriage returns:

312

1

44

1

5567

9810

2

61112

50132

316172

5181920

802122242

92728303

7

9031323334

35

...

The first column shows Pi!

a(63) = 52 is the last term, a(64) would have to begin with a 0. - Charlie Neder, Jun 24 2018

Links

• Eric Angelini, Un nombre de ouf!
• E. Angelini, Un nombre de ouf! [Cached copy, with permission]

Extensions

a(40)-a(63) from Charlie Neder, Jun 24 2018