A133651 -id:A133651 - cp's OEIS frontend

A133650 Early early bird numbers (early bird numbers of order 2).

99, 111, 122, 123, 132, 142, 152, 162, 172, 182, 192, 211, 212, 214, 215, 216, 217, 218, 219, 220, 221, 231, 232, 233, 234, 243, 253, 263, 273, 283, 293, 311, 312, 313, 321, 322, 323, 325, 326, 327, 328, 329, 330, 331, 332, 342, 343, 344, 345, 354, 364, 374

Offset: 1

Klaus Brockhaus, Sep 19 2007

N-th Early bird number A116700(n) is in the sequence if it occurs in the concatenation of the first n-1 early bird numbers, A116700(1), ..., A116700(n-1).
With A116700 as early bird numbers of order 1, this can be generalized to define early bird numbers of order k for k > 1: N-th Early bird number of order k-1 is an early bird number of order k if it occurs in the concatenation of the first n-1 early bird numbers of order k-1.
Inspired by Eric Angelini's posting to Seq Fan mailing list, Jul 23 2007.

			A116700(45) = 99 occurs in the concatenation 1221233132344142434551525354566162636465677172737475767881828384858687899192939495969798 of A116700(1), ..., A116700(44). Hence 99 is an early bird number of order 2.

Klaus Brockhaus, Table of n, a(n) for n = 1..1000

Cf. A116700 (early bird numbers), A133651 (early bird numbers of order 3), A133652 (least early bird number of order n).

REM Program works for order >= 1; set maxterm >= A133652(order).
order = 2
maxterm = 374 : dim seq(maxterm), early(maxterm)
for i = 1 to maxterm : seq(i) = i : next
for k = 1 to order
concatenation$ = "" : n = 0
for j = 1 to maxterm
term = seq(j) : string$ = str$(term)
if instr(concatenation$, string$) > 0 then n = n+1 : early(n) = term
concatenation$ = concatenation$ + string$
next j
maxterm = n : redim seq(maxterm)
for i = 1 to maxterm : seq(i) = early(i) : next
redim early(maxterm)
next k
print "early bird numbers of order "; order
for i = 1 to maxterm : print seq(i); ","; : next

A133652 Least early bird number of order n.

Original entry on oeis.org

12, 99, 212, 221, 1532, 2211, 4221, 12111, 21111, 22211, 42221, 111107, 121111, 211111, 222216, 878777, 1111102, 1121111, 1211111, 2111111, 4332343, 9999993, 11111051, 11111106, 11211111, 12111111, 21111111

Offset: 1

Klaus Brockhaus, Sep 19 2007

See A133650 for definition of early bird numbers of order n.

a(28) > 6*10^7. [From Donovan Johnson, Nov 06 2010]

			a(3) = A133651(1) = 212.

Cf. A116700 (early bird numbers), A133650 (early bird numbers of order 2), A133651 (early bird numbers of order 3).

a(16)-a(27) from Donovan Johnson, Nov 06 2010

cp's OEIS Frontend

A133650 Early early bird numbers (early bird numbers of order 2).

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

Programs

JBASIC