A167204 - OEIS

A167204

Triangle read by rows in which row n lists the first 2^(n-1) terms of A003602.

1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 3, 2, 4, 1, 1, 1, 2, 1, 3, 2, 4, 1, 5, 3, 6, 2, 7, 4, 8, 1, 1, 1, 2, 1, 3, 2, 4, 1, 5, 3, 6, 2, 7, 4, 8, 1, 9, 5, 10, 3, 11, 6, 12, 2, 13, 7, 14, 4, 15, 8, 16, 1, 1, 1, 2, 1, 3, 2, 4, 1, 5, 3, 6, 2, 7, 4, 8, 1, 9, 5, 10, 3, 11, 6, 12, 2, 13, 7, 14, 4, 15, 8, 16

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,6

COMMENTS

The old definition (see history #7) was:

"Numbers such that n is contained in the array a(n) where array 1 is A099627, array 2 is A124922 etc. (Table A167979 illustrates the manner in which the array numbers are chosen - e.g. "12" is not in array 1 or 2 so it begins array 3. All of the arrays can be seen in A161924."

LINKS

Table of n, a(n) for n=1..94.

EXAMPLE

From Omar E. Pol, Feb 21 2011: (Start)

If written as a triangle:

1,1,

1,1,2,1,

1,1,2,1,3,2,4,1,

1,1,2,1,3,2,4,1,5,3,6,2,7,4,8,1,

1,1,2,1,3,2,4,1,5,3,6,2,7,4,8,1,9,5,10,3,11,6,12,2,13,7,14,4,15,8,16,1,

...

(End)

a(12)= 3 therefore, as expected, 12 is contained in array 3; a(14)= 4 so 14 is a member of array 4, etc.

A099627 (array 1) begins 1 2 3 4 5 7 8 9 11 15 ...

A124922 (array 2) begins 6 10 13 18 21 27 ... so a(n) begins 1 1 1 1 1 2 1 1 1 2 1 ...

The next two arrays begin 12 20 25 36 41 51 ... and 14 22 29 38 45 59 ...

CROSSREFS

Cf. A003602, A099627, A124922, A167201 (uses array 3), A167202 (uses array 4), A161924 (contains all of the arrays), A167979 (Linearizes and concatenates the arrays).

Sequence in context: A138010 A206487 A209062 * A376758 A304750 A104306

Adjacent sequences: A167201 A167202 A167203 * A167205 A167206 A167207

KEYWORD

easy,nonn,tabf

AUTHOR

Alford Arnold, Nov 12 2009

EXTENSIONS

Definition corrected by Alford Arnold, Feb 05 2011

Better definition from Omar E. Pol, Feb 21 2011

Further edits from N. J. A. Sloane, Feb 21 2011

More terms a(64)-a(94) from Omar E. Pol, Feb 22 2011

STATUS

approved