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.

A338015 Addition table of A338012, read by antidiagonals.

Original entry on oeis.org

0, 3, 3, 4, 6, 4, 10, 7, 7, 10, 18, 13, 8, 13, 18, 23, 21, 14, 14, 21, 23, 34, 26, 22, 20, 22, 26, 34, 55, 37, 27, 28, 28, 27, 37, 55, 67, 58, 38, 33, 36, 33, 38, 58, 67, 93, 70, 59, 44, 41, 41, 44, 59, 70, 93, 95, 96, 71, 65, 52, 46, 52, 65, 71, 96, 95
Offset: 1

Views

Author

Peter Kagey, Oct 06 2020

Keywords

Examples

			Addition table begins:
   + |  0  3  4 10 18 23  34  55  67
-----+-------------------------------
   0 |  0  3  4 10 18 23  34  55  67
   3 |  3  6  7 13 21 26  37  58  70
   4 |  4  7  8 14 22 27  38  59  71
  10 | 10 13 14 20 28 33  44  65  77
  18 | 18 21 22 28 36 41  52  73  85
  23 | 23 26 27 33 41 46  57  78  90
  34 | 34 37 38 44 52 57  68  89 101
  55 | 55 58 59 65 73 78  89 110 122
  67 | 67 70 71 77 85 90 101 122 134
		

Crossrefs

Cf. A338012, A338014 (by rows), A338017 (multiplication table).

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
		

Crossrefs

Cf. A337973 (read by antidiagonals), A337974 (multiplication table).

A337975 Multiplication table from A337946, read by antidiagonals.

Original entry on oeis.org

1, 3, 3, 7, 9, 7, 12, 21, 21, 12, 22, 36, 49, 36, 22, 30, 66, 84, 84, 66, 30, 47, 90, 154, 144, 154, 90, 47, 61, 141, 210, 264, 264, 210, 141, 61, 85, 183, 329, 360, 484, 360, 329, 183, 85, 113, 255, 427, 564, 660, 660, 564, 427, 255, 113, 126, 339, 595, 732, 1034, 900, 1034, 732, 595, 339, 126
Offset: 1

Views

Author

Peter Kagey, Oct 05 2020

Keywords

Examples

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

Crossrefs

Cf. A337973 (addition), A337974 (read by rows).

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
		

Crossrefs

Cf. A337656, A337657, A338031 (by rows), A338034 (multiplication table).
Showing 1-4 of 4 results.