A138101 -id:A138101 - cp's OEIS frontend

A171219 A138101(n)+A168142(n).

5, 5, 21, 21, 21, 21, 21, 21, 21, 21, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 57, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121

Offset: 1

Paul Curtz, Dec 05 2009

This here basically repeats entries A168388(2k+1) 2*k^2 times for k=1,2,....

The construction is similar to A168234.

Comments tightened - R. J. Mathar, Nov 24 2010

A138100 The atomic numbers read along the odd-indexed rows of the Janet table of the elements.

Original entry on oeis.org

1, 2, 5, 6, 7, 8, 9, 10, 11, 12, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88

Offset: 1

Paul Curtz, May 03 2008

The union with A138101 gives the first 120 terms of A000027.

			Starts with 1 and 2 of the first row (H and He). Next come 5 to 12 of the 3rd row (B to Mg).

Albert Tarantola, PSE of Elements (Janet form).

Cf. A000027, A138101 (even-indexed rows), A138509 (Left-step Janet periodic table), A137583, A172002.

Table[Range[2 Ceiling[n/2]^2] + (# + 1) (3 + 2 #^2 + 4 # - 3 (-1)^#)/12 &[n - 1], {n, 1, 7, 2}] // Flatten (* Michael De Vlieger, Jul 21 2016 *)

Edited by R. J. Mathar, Oct 07 2009

A168142 Count downwards from 2, then from 8, then from 18, then from ... 2*k^2, k>=1.

Original entry on oeis.org

2, 1, 8, 7, 6, 5, 4, 3, 2, 1, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1, 50, 49, 48, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31

Offset: 1

Paul Curtz, Nov 19 2009

nonn

Janet's extended enumeration of the periodic table of the elements.

The table is read from the right to the left.

Charles Janet, La structure du Noyau de l'atome,consideree dans la Classification periodique des elements chimiques, Nov. 1927, N. 2, Beauvais, 67 pages, 3 leafleats, see page 15.
Charles Janet, Considerations sur la structure du noyau de l'atome, Dec 1929, N 5, Beauvais, 2+45 pp.,4 leaflets, see leaflets 2 and 3.

Cf. A138100, A138101, A093907, A137583, A172002.

Table[Reverse@ Range[2 n^2], {n, 5}] // Flatten (* Michael De Vlieger, Jul 22 2016 *)

Edited by R. J. Mathar, Feb 15 2010

A138102 The number 2k^2 repeated 2k^2 times, k=1 to 4.

Original entry on oeis.org

2, 2, 8, 8, 8, 8, 8, 8, 8, 8, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32

Offset: 1

Paul Curtz, May 03 2008

Vaguely related to the number of elements in the Janet table A138102.
Essentially the same as A137575.
a(n)= (A138101=3,4,13,14,15,16,17,) - (A138100=1,2,5,6,7,8,9,) . [From Paul Curtz, Oct 11 2009]

Albert Tarantola, PSE of Elements (Janet form).
Anonymous, Janet periodic table, Web Elements Chemistry Nexus

Cf. A138101, A137325, A137583, A166071, A001105.

Edited by R. J. Mathar, Oct 07 2009

A168342 Even atomic numbers in the Janet table of the PSE, read right to left along rows.

Original entry on oeis.org

2, 4, 12, 10, 8, 6, 20, 18, 16, 14, 38, 36, 34, 32, 30, 28, 26, 24, 22, 56, 54, 52, 50, 48, 46, 44, 42, 40, 88, 86, 84, 82, 80, 78, 76, 74, 72, 70, 68, 66, 64, 62, 60, 58, 120, 118, 116, 114, 112, 110, 108, 106, 104, 102, 100, 98, 96, 94, 92, 90

Offset: 1

Paul Curtz, Nov 23 2009

In the Janet arrangement, the elements appear in groups of twice 2, twice 8,... twice 2*k^2, and are here right-aligned:
...............................1,.2;
...............................3,.4;
.............5,.6,.7,.8,.9,10,11,12;
............13,14,15,16,17,18,19,20;
...28,39.30,31,32,33,34,35,36,37,38;
The even numbers in the table are read top-down, right-to-left and entered into the sequence (which, in consequence, is a permutation of the even numbers.)

			Skipping each second (i.e., each odd) element in the table, the result is
2;
4;
12,10,8,6;
20,18,16,14;
38,36,34,32,30,28,..
counting down the even numbers restarting at indices provided by A168380.

A. Tarantola, Periodic table of elements (Janet form)

Cf. A138100, A138101, A168142.

cp's OEIS Frontend

A171219 A138101(n)+A168142(n).

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A138100 The atomic numbers read along the odd-indexed rows of the Janet table of the elements.

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A168142 Count downwards from 2, then from 8, then from 18, then from ... 2*k^2, k>=1.

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A138102 The number 2*k^2 repeated 2*k^2 times, k=1 to 4.

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Author

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A168342 Even atomic numbers in the Janet table of the PSE, read right to left along rows.

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

A138102 The number 2k^2 repeated 2k^2 times, k=1 to 4.