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 1-4 of 4 results.

A138102 The number 2*k^2 repeated 2*k^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

Views

Author

Paul Curtz, May 03 2008

Keywords

Comments

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]

Links

Crossrefs

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

Extensions

Edited by R. J. Mathar, Oct 07 2009

A173592 Atomic numbers in the Mendeleyev-Moseley-Seaborg periodic table of elements read downwards columns, right to left.

Original entry on oeis.org

2, 10, 18, 36, 54, 86, 118, 1, 9, 17, 35, 53, 85, 117, 8, 16, 34, 52, 84, 116, 7, 15, 33, 51, 83, 115, 6, 14, 32, 50, 82, 114, 5, 13, 31, 49, 81, 113, 4, 12, 30, 48, 80, 112, 3, 11, 29, 47, 79, 111, 28, 46, 78, 110, 27, 45, 77, 109, 26, 44, 76, 108, 25, 43, 75, 107, 24, 42, 74
Offset: 1

Views

Author

Paul Curtz, Feb 22 2010

Keywords

Comments

A permutation of the natural numbers from 1 to 118.
The number of terms in the columns, also ordered right to left is: 7, 7, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2.
This is a consequence of finding 2*7=14, 6*6=36, 10*4=40, 14*2=28 elements with outer shells of s, p, d, and f-electrons.
Acronymic name: CMMSPT.

Examples

			The table contains 7 rows in 32 columns outlined as follows:
                                             1   2
                     3   4   5   6   7   8   9  10
                    11  12  13  14  15  16  17  18
      19  20....28  29  30  31  32  33  34  35  36
      37  38....46  47  48  49  50  51  52  53  54
55....69  70....78  79  80  81  82  83  84  85  86
87...101 102...110 111 112 113 114 115 116 117 118

Links

Crossrefs

Cf. A167268, A137583, A137325.

Programs

  • Mathematica
    elements = PadLeft[#, 32, 0] & /@ {{1, 2}, Range[3, 10], Range[11, 18], Range[19, 36], Range[37, 54], Range[55, 86], Range[87, 118]}; Transpose[elements] // Reverse // Flatten // Select[#, #!=0& ]& (* Jean-François Alcover, Oct 01 2012 *)

A166071 Sum of the atomic numbers in the n-th column of the Janet table of the first 120 elements.

Original entry on oeis.org

146, 148, 150, 152, 154, 156, 158, 160, 162, 164, 166, 168, 170, 172, 234, 238, 242, 246, 250, 254, 258, 262, 266, 270, 292, 298, 304, 310, 316, 322, 332, 340
Offset: 1

Views

Author

Paul Curtz, Oct 06 2009

Keywords

Examples

			a(1) = 57 (La) +89 (Ac).
a(14) = 70 (Yb) +102 (No).
a(15) = 21 (Sc) +39 (Y) +71 (Lu) +103 (Lr).
a(24) = 30 (Zn) +48 (Cd) +80 (Hg) +112.
a(25) = 5+13+31+49+81+113.
a(31) = 1 (H) +3 (Li) +11 (Na) +19 (K) +37 (Rb) +55 (Cs) +187 (Fr) +119.

Links

Crossrefs

Cf. A137325, A137583, A138102

Formula

sum_{n=1..32} a(n) = A000217(120).

Extensions

a(32) corrected, tutorial description of the PSE and historical anectodes removed. - R. J. Mathar, Oct 07 2009

A217927 Elements of the horizontal ADOMAH periodic table written from right to left, from bottom to top.

Original entry on oeis.org

2, 1, 4, 3, 10, 9, 8, 7, 6, 5, 12, 11, 18, 17, 16, 15, 14, 13, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 36, 35, 34, 33, 32, 31, 48, 47, 46, 45, 44, 43, 42, 41, 40, 39, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 38, 37, 54, 53, 52, 51, 50, 49, 80, 79, 78, 77, 76, 75, 74, 73, 72, 71, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89
Offset: 1

Views

Author

Paul Curtz, Oct 15 2012

Keywords

Comments

We first write a variant of the ADOMAH periodic table:
1 2
5 6 7 8 9 10 3 4
21 22 23 24 25 26 27 28 29 30 13 14 15 16 17 18 11 12
57 to 70 39 40 41 42 43 44 45 46 47 48 31 32 33 34 35 36 19 20 (B)
89 to 102 71 72 73 74 75 76 77 78 79 80 49 50 51 52 53 54 37 38
103104105106107108109110111112 81 82 83 84 85 86 55 56
113114115116117118 87 88
119120
(See A219388).
It could be written vertically.
Differences of (2,4,12,20,38,56,88,120,... = A168380) = 2,8,8,18,18,... = A093907 from a 118 terms table.
The number of elements in the n-th period (2,8,18,32,32,18,8,2) is in A168281. Compare to A093907 = 2,8,8,18,18,32,32,50,...(extension of the Mendeleyev-Moseley-Seaborg table) and A137583 = 2,2,8,8,18,18,32,32. See the possible element 120 in A168208 (which must be clarified).
The horizontal ADOMAH periodic table (2006) is
119120
113114115116117118 87 88
103104105106107108109110111112 81 82 83 84 85 86 55 56
89 to 102 71 72 73 74 75 76 77 78 79 80 49 50 51 52 53 54 37 38 (A)
57 to 70 39 40 41 42 43 44 45 46 47 48 31 32 33 34 35 36 19 20
21 22 23 24 25 26 27 28 29 30 13 14 15 16 17 18 11 12
5 6 7 8 9 10 3 4
1 2
Generally it is written vertically.

References

  • Philip J. Stewart, "Charles Janet, Unrecognized genius of the periodic system", Foundations of Chemistry, January, 2009. ISSN 1386-4238.

Links

Crossrefs

Cf. A137325.

Extensions

Reference given by Jean-François Alcover, Oct 22 2012
Typos corrected in comments by Jean-François Alcover, Nov 16 2012
Showing 1-4 of 4 results.

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