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.

A337972 Triangular array read by rows: T(n,k) = A337946(n) + A337946(k), for 1 <= k <= n.

Original entry on oeis.org

2, 4, 6, 8, 10, 14, 13, 15, 19, 24, 23, 25, 29, 34, 44, 31, 33, 37, 42, 52, 60, 48, 50, 54, 59, 69, 77, 94, 62, 64, 68, 73, 83, 91, 108, 122, 86, 88, 92, 97, 107, 115, 132, 146, 170, 114, 116, 120, 125, 135, 143, 160, 174, 198, 226, 127, 129, 133, 138, 148, 156, 173, 187, 211, 239, 252
Offset: 1

Views

Author

Peter Kagey, Oct 05 2020

Keywords

Comments

This sequence, A337947, and A337974 partition the positive integers.

Examples

			Addition table for A337946 begins:
  +  |  1  3  7 12  22  30  47  61  85
-----+--------------------------------
   1 |  2
   3 |  4  6
   7 |  8 10 14
  12 | 13 15 19 24
  22 | 23 25 29 34  44
  30 | 31 33 37 42  52  60
  47 | 48 50 54 59  69  77  94
  61 | 62 64 68 73  83  91 108 122
  85 | 86 88 92 97 107 115 132 146 170

Links

Crossrefs

Cf. A337659, A337946, A338014, A338031.
Cf. A337973 (read by antidiagonals), A337974 (multiplication table).

A338032 Addition table of A337656, read by antidiagonals.

Original entry on oeis.org

0, 1, 1, 3, 2, 3, 7, 4, 4, 7, 12, 8, 6, 8, 12, 20, 13, 10, 10, 13, 20, 30, 21, 15, 14, 15, 21, 30, 44, 31, 23, 19, 19, 23, 31, 44, 65, 45, 33, 27, 24, 27, 33, 45, 65, 91, 66, 47, 37, 32, 32, 37, 47, 66, 91, 107, 92, 68, 51, 42, 40, 42, 51, 68, 92, 107
Offset: 1

Views

Author

Peter Kagey, Oct 07 2020

Keywords

Examples

			Addition table begins:
   + |  0  1  3  7 12 20 30  44  65
-----+-----------------------------
   0 |  0  1  3  7 12 20 30  44  65
   1 |  1  2  4  8 13 21 31  45  66
   3 |  3  4  6 10 15 23 33  47  68
   7 |  7  8 10 14 19 27 37  51  72
  12 | 12 13 15 19 24 32 42  56  77
  20 | 20 21 23 27 32 40 50  64  85
  30 | 30 31 33 37 42 50 60  74  95
  44 | 44 45 47 51 56 64 74  88 109
  65 | 65 66 68 72 77 85 95 109 130

Links

Crossrefs

Cf. A337656, A337657, A338031 (by rows), A338034 (multiplication table).
Cf. A337660, A337973, A338015.

A338033 Triangular array read by rows: T(n,k) = A337656(n) * A337656(k) for 1 <= k <= n.

Original entry on oeis.org

0, 0, 1, 0, 3, 9, 0, 7, 21, 49, 0, 12, 36, 84, 144, 0, 20, 60, 140, 240, 400, 0, 30, 90, 210, 360, 600, 900, 0, 44, 132, 308, 528, 880, 1320, 1936, 0, 65, 195, 455, 780, 1300, 1950, 2860, 4225, 0, 91, 273, 637, 1092, 1820, 2730, 4004, 5915, 8281
Offset: 1

Views

Author

Peter Kagey, Oct 07 2020

Keywords

Examples

			Multiplication table begins:
   * | 0  1   3   7  12   20   30   44   65
-----+-------------------------------------
   0 | 0
   1 | 0  1
   3 | 0  3   9
   7 | 0  7  21  49
  12 | 0 12  36  84 144
  20 | 0 20  60 140 240  400
  30 | 0 30  90 210 360  600  900
  44 | 0 44 132 308 528  880 1320 1936
  65 | 0 65 195 455 780 1300 1950 2860 4225

Links

Crossrefs

Cf. A337656, A337657, A338031 (addition), A338034 (by antidiagonals).
Cf. A337661, A337974, A338016.
Showing 1-3 of 3 results.

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

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