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.

A338017 Multiplication table of A338012, read by antidiagonals.

Original entry on oeis.org

0, 0, 0, 0, 9, 0, 0, 12, 12, 0, 0, 30, 16, 30, 0, 0, 54, 40, 40, 54, 0, 0, 69, 72, 100, 72, 69, 0, 0, 102, 92, 180, 180, 92, 102, 0, 0, 165, 136, 230, 324, 230, 136, 165, 0, 0, 201, 220, 340, 414, 414, 340, 220, 201, 0, 0, 279, 268, 550, 612, 529, 612, 550, 268, 279, 0
Offset: 1

Views

Author

Peter Kagey, Oct 06 2020

Keywords

Examples

			Multiplication table begins:
   * | 0   3   4  10   18   23   34   55   67
-----+---------------------------------------
   0 | 0   0   0   0    0    0    0    0    0
   3 | 0   9  12  30   54   69  102  165  201
   4 | 0  12  16  40   72   92  136  220  268
  10 | 0  30  40 100  180  230  340  550  670
  18 | 0  54  72 180  324  414  612  990 1206
  23 | 0  69  92 230  414  529  782 1265 1541
  34 | 0 102 136 340  612  782 1156 1870 2278
  55 | 0 165 220 550  990 1265 1870 3025 3685
  67 | 0 201 268 670 1206 1541 2278 3685 4489

Links

Crossrefs

Cf. A338012, A338015 (addition table), A338016 (by rows).
Cf. A337662, A337975.

A337973 Addition table from A337946, read by antidiagonals.

Original entry on oeis.org

2, 4, 4, 8, 6, 8, 13, 10, 10, 13, 23, 15, 14, 15, 23, 31, 25, 19, 19, 25, 31, 48, 33, 29, 24, 29, 33, 48, 62, 50, 37, 34, 34, 37, 50, 62, 86, 64, 54, 42, 44, 42, 54, 64, 86, 114, 88, 68, 59, 52, 52, 59, 68, 88, 114, 127, 116, 92, 73, 69, 60, 69, 73, 92, 116, 127
Offset: 1

Views

Author

Peter Kagey, Oct 05 2020

Keywords

Examples

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

Links

Crossrefs

Cf. A337660, A337946, A338015, A338032.
Cf. A337972 (by rows), A337975 (multiplication).

A337974 Triangular array read by rows: T(n,k) = A337946(n) * A337946(k), for 1 <= k <= n.

Original entry on oeis.org

1, 3, 9, 7, 21, 49, 12, 36, 84, 144, 22, 66, 154, 264, 484, 30, 90, 210, 360, 660, 900, 47, 141, 329, 564, 1034, 1410, 2209, 61, 183, 427, 732, 1342, 1830, 2867, 3721, 85, 255, 595, 1020, 1870, 2550, 3995, 5185, 7225, 113, 339, 791, 1356, 2486, 3390, 5311, 6893, 9605, 12769
Offset: 1

Views

Author

Peter Kagey, Oct 05 2020

Keywords

Comments

This sequence, A337947, and A337972 partition the positive integers.

Examples

			Multiplication table for A337946 begins:
  *  |  1   3   7   12   22   30   47   61   85
-----+-----------------------------------------
   1 |  1
   3 |  3   9
   7 |  7  21  49
  12 | 12  36  84  144
  22 | 22  66 154  264  484
  30 | 30  90 210  360  660  900
  47 | 47 141 329  564 1034 1410 2209
  61 | 61 183 427  732 1342 1830 2867 3721
  85 | 85 255 595 1020 1870 2550 3995 5185 7225

Links

Crossrefs

Cf. A337661, A337946, A338016, A338033.
Cf. A337972 (addition table), A337975 (read by antidiagonals).

A338034 Multiplication table of A337656, read by antidiagonals.

Original entry on oeis.org

0, 0, 0, 0, 1, 0, 0, 3, 3, 0, 0, 7, 9, 7, 0, 0, 12, 21, 21, 12, 0, 0, 20, 36, 49, 36, 20, 0, 0, 30, 60, 84, 84, 60, 30, 0, 0, 44, 90, 140, 144, 140, 90, 44, 0, 0, 65, 132, 210, 240, 240, 210, 132, 65, 0, 0, 91, 195, 308, 360, 400, 360, 308, 195, 91, 0
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  0   0   0   0    0    0    0    0
   1 | 0  1   3   7  12   20   30   44   65
   3 | 0  3   9  21  36   60   90  132  195
   7 | 0  7  21  49  84  140  210  308  455
  12 | 0 12  36  84 144  240  360  528  780
  20 | 0 20  60 140 240  400  600  880 1300
  30 | 0 30  90 210 360  600  900 1320 1950
  44 | 0 44 132 308 528  880 1320 1936 2860
  65 | 0 65 195 455 780 1300 1950 2860 4225

Links

Crossrefs

Cf. A337656, A337657, A338032 (addition table), A338033 (by rows).
Cf. A337662, A337975, A338017.
Showing 1-4 of 4 results.

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