A275657 The prime digits in the sequence appear in blocks and the successive sizes of these blocks are given by the sequence itself.

1, 2, 4, 3, 5, 6, 7, 22, 20, 8, 9, 10, 11, 12, 23, 13, 25, 27, 14, 15, 32, 33, 21, 16, 17, 35, 37, 52, 18, 19, 40, 41, 42, 53, 55, 57, 72, 73, 75, 77, 222, 223, 24, 43, 225, 227, 232, 233, 235, 237, 26, 44, 45, 252, 253, 28, 46, 47, 255, 257, 220, 48, 49, 60, 61, 62, 272, 273, 275, 63, 277, 322, 323, 29, 64, 65, 325, 327, 332, 221, 66

Offset

1,2

Comments

The sequence is started with a(1)=1 and always extended with the smallest integer not yet present that does not lead to a contradiction.

Links

Table of n, a(n) for n=1..81.

Example

The blocks of prime digits are indicated hereunder by parentheses; the successive block-sizes are 1, 2, 4, 3, 5, 6,... which reproduces the sequence itself:
1,(2),4,(3,5),6,(7,22,2)0,8,9,10,11,1(2,23),1(3,25,27),14,1(5,32,33,2)1,16,...

Crossrefs

The equivalent sequence dealing with nonprime digits is A275659.

Sequence in context: A056019 A125963 A111269 * A107896 A107897 A133256

Adjacent sequences: A275654 A275655 A275656 * A275658 A275659 A275660

Keyword

nonn,base

Author

Eric Angelini and Lars Blomberg, Aug 04 2016

Status

approved