cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-3 of 3 results.

A167977 Triangle A161511(A167979(n,k)).

Original entry on oeis.org

1, 2, 4, 2, 5, 6, 3, 5, 7, 6, 3, 6, 7, 7, 8, 3, 6, 8, 7, 9, 8, 4, 6, 8, 8, 9, 9, 9, 4, 7, 8, 8, 10, 9, 10, 8, 4, 7, 9, 8, 10, 10, 10, 9, 10
Offset: 1

Views

Author

Alford Arnold, Nov 24 2009

Keywords

Comments

Note that the values of this triangle identify the number partitioned described in A125105 and A161924.

Examples

			The triangle A167979 begins
1
2..6
3..10..12
so mapping each value with A161511 generates this triangle here, which begins
1
2..4
2..5..6

Crossrefs

Cf. A125106, A161924, A161511, A167979

A167204 Triangle read by rows in which row n lists the first 2^(n-1) terms of A003602.

Original entry on oeis.org

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
Offset: 1

Views

Author

Alford Arnold, Nov 12 2009

Keywords

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."

Examples

			From _Omar E. Pol_, Feb 21 2011: (Start)
If written as a triangle:
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,
...
(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).

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

A176577 Create a table by linearizing and concatenating arrays embedded in A114994 the terms of which map to numeric partitions.

Original entry on oeis.org

1, 2, 10, 3, 18, 36, 4, 21, 68, 42, 5, 34, 73, 74, 136, 7, 37, 132, 85, 264, 146, 8, 43, 137, 138, 273, 274, 170, 9, 66, 147, 149, 520, 293, 298, 292, 11, 69, 260, 171, 529, 530, 341, 548, 528, 15, 75, 265, 266, 547, 549, 554, 585, 1040, 546, 16, 87, 275, 277, 1032, 587
Offset: 1

Views

Author

Alford Arnold, Apr 20 2010

Keywords

Examples

			The first embedded array is sequence A099629 = 1 2 3 4 5 7 8 9 11 15 ...
The second array begins 10 18 21 34 37 43 ...
and the table begins
1..10..36..42..136..146..170..292...
2..18..68..74..
3..21..73..85..
4..34..
5..37..
7..43..
The number 292 in binary is 100100100
which maps to partition 3+3+3.

Crossrefs

Cf. A099627 A114994
A167979 (a similar array also mapped to numeric partitions) [From Alford Arnold, May 04 2010]

Extensions

More terms from Alford Arnold, May 04 2010
Showing 1-3 of 3 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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