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.

A276607 Column 1 of A276620: a(n) = A276606(n) - A260723(1+n).

Original entry on oeis.org

4, 8, 10, 20, 16, 24, 38, 20, 34, 40, 36, 22, 34, 52, 52, 42, 44, 48, 48, 54, 24, 64, 74, 58, 40, 22, 64, 46, 90, 58, 66, 56, 88, 46, 40, 16, 114, 134, 32, 86, 24, 54, 68, 28, 56, 58, 86, 88, 108, 52, 56, 132, 64, 60, 148, 28, 58, 56, 120, 44, 38, 152, 72, 56, 92, 98, 96, 38, 56, 88, 38, 46, 92, 180, 40, 80, 54, 126
Offset: 1

Views

Author

Antti Karttunen, Sep 13 2016

Keywords

Links

Crossrefs

Column 1 of A276620.
Cf. A276608 (terms divided by 2).
Cf. A276606, A260723.

Programs

Formula

a(n) = A276606(n) - A260723(1+n).

A276619 Transpose of square array A276620.

Original entry on oeis.org

4, 8, 4, 10, 10, 4, 20, 12, 8, 4, 16, 20, 12, 10, 4, 24, 12, 22, 12, 8, 4, 38, 26, 16, 24, 10, 10, 4, 20, 40, 30, 14, 24, 10, 8, 4, 34, 18, 38, 20, 14, 22, 14, 10, 4, 40, 22, 14, 34, 32, 12, 16, 10, 8, 4, 36, 68, 34, 22, 38, 26, 20, 22, 10, 10, 4, 22, 36, 46, 26, 14, 40, 18, 14, 28, 12, 8, 4, 34, 14, 28, 74, 30, 12, 48, 30, 8, 20, 12, 10, 4
Offset: 1

Views

Author

Antti Karttunen, Sep 13 2016

Keywords

Comments

See A276620.
The first negative term occurs as a(472) = A(7,25) = A276609(8,25) - A276609(7,25) = 248 - 258 = -10.

Examples

			The top left 18 x 18 corner of the array:
  4,  8, 10, 20, 16, 24, 38, 20, 34, 40, 36, 22, 34, 52, 52, 42, 44, 48
  4, 10, 12, 20, 12, 26, 40, 18, 22, 68, 36, 14, 32, 44, 74, 46, 38, 54
  4,  8, 12, 22, 16, 30, 38, 14, 34, 46, 28, 14, 46, 40, 70, 58, 16, 54
  4, 10, 12, 24, 14, 20, 34, 22, 26, 74, 32, 10, 32, 52, 52, 64, 30, 62
  4,  8, 10, 24, 14, 32, 38, 14, 30, 52, 30, 46, 16, 40, 66, 38, 64, 24
  4, 10, 10, 22, 12, 26, 40, 12, 40, 48, 28, 16, 46, 56, 68, 38, 22, 62
  4,  8, 14, 16, 20, 18, 48, 20, 20, 70, 18, 24, 30, 58, 56, 62, 28, 66
  4, 10, 10, 22, 14, 30, 34, 22, 30, 40, 58,  2, 30, 60, 52, 52, 48, 46
  4,  8, 10, 28,  8, 28, 32, 20, 30, 64, 28, 32, 30, 28, 80, 44, 34, 48
  4, 10, 12, 20, 22, 22, 40, 16, 32, 66, 20, 16, 54, 24, 64, 62, 32, 52
  4,  8, 12, 22, 12, 28, 40, 18, 28, 46, 38, 24, 34, 64, 42, 52, 46, 54
  4, 10, 12, 20, 12, 30, 36, 12, 34, 58, 26, 20, 26, 52, 90, 28, 26, 62
  4,  8, 10, 20, 18, 28, 40, 20, 26, 58, 30, 18, 34, 54, 54, 62, 38, 52
  4, 10, 10, 26, 12, 20, 44, 10, 40, 48, 50, 12, 26, 66, 42, 52, 36, 42
  4,  8, 14, 20, 12, 30, 36, 24, 26, 58, 30, 28, 30, 30, 78, 50, 48, 30
  4, 10, 10, 22, 18, 24, 40, 18, 26, 62, 28, 12, 38, 54, 58, 50, 44, 48
  4,  8, 10, 24, 14, 28, 36, 18, 30, 58, 22, 30, 40, 30, 72, 42, 26, 76
  4, 10, 12, 22, 14, 26, 32, 18, 32, 52, 44, 20, 18, 66, 68, 52, 34, 40

Links

Crossrefs

Transpose: A276620.
Cf. A276609, A276610.

Programs

A276610 Square array A(row,col) = A255127(row+1,col) - A255127(row,col): the first differences of each column of Ludic array, read by descending antidiagonals as A(1,1), A(1,2), A(2,1), A(1,3), A(2,2), A(3,1), ...

Original entry on oeis.org

1, 5, 2, 9, 10, 2, 13, 20, 12, 4, 17, 28, 24, 24, 2, 21, 38, 36, 44, 18, 4, 25, 46, 48, 66, 30, 28, 6, 29, 56, 58, 90, 46, 54, 44, 2, 33, 64, 68, 114, 60, 84, 84, 22, 4, 37, 74, 82, 136, 74, 104, 122, 40, 38, 8, 41, 82, 92, 152, 86, 136, 156, 54, 60, 48, 4, 45, 92, 102, 174, 106, 162, 194, 76, 94, 116, 40, 2
Offset: 1

Views

Author

Antti Karttunen, Sep 13 2016

Keywords

Comments

Not all rows are monotonic. See A276620 for their first differences.

Examples

			The top left 16 x 15 corner of the array:
1,  5,   9,  13,  17,  21,  25,  29,  33,  37,  41,  45,  49,  53,  57,  61
2, 10,  20,  28,  38,  46,  56,  64,  74,  82,  92, 100, 110, 118, 128, 136
2, 12,  24,  36,  48,  58,  68,  82,  92, 102, 114, 126, 138, 148, 158, 172
4, 24,  44,  66,  90, 114, 136, 152, 174, 202, 222, 244, 264, 284, 310, 330
2, 18,  30,  46,  60,  74,  86, 106, 120, 128, 150, 162, 174, 192, 204, 216
4, 28,  54,  84, 104, 136, 162, 180, 210, 238, 260, 288, 318, 346, 366, 396
6, 44,  84, 122, 156, 194, 234, 282, 316, 348, 388, 428, 464, 504, 548, 584
2, 22,  40,  54,  76,  90, 102, 122, 144, 164, 180, 198, 210, 230, 240, 264
4, 38,  60,  94, 120, 150, 190, 210, 240, 270, 302, 330, 364, 390, 430, 456
8, 48, 116, 162, 236, 288, 336, 406, 446, 510, 576, 622, 680, 738, 786, 844
4, 40,  76, 104, 136, 166, 194, 212, 270, 298, 318, 356, 382, 412, 462, 492
2, 24,  38,  52,  62, 108, 124, 148, 150, 182, 198, 222, 242, 260, 272, 300
4, 38,  70, 116, 148, 164, 210, 240, 270, 300, 354, 388, 414, 448, 474, 504
6, 58, 102, 142, 194, 234, 290, 348, 408, 436, 460, 524, 576, 630, 696, 726
8, 60, 134, 204, 256, 322, 390, 446, 498, 578, 642, 684, 774, 828, 870, 948

Links

Crossrefs

Transpose: A276609.
Row 1: A016813.
Column 1: A260723 (from the second 1 onward), Column 2: A276606.
Cf. A255127, A269379.
Cf. also arrays A257257, A257513 and A276620 (gives the first differences of each row).

Programs

Formula

A(row,col) = A255127(row+1,col) - A255127(row,col).
A(row,col) = A269379(A255127(row,col)) - A255127(row,col).

A276608 a(n) = A276607(n) / 2.

Original entry on oeis.org

2, 4, 5, 10, 8, 12, 19, 10, 17, 20, 18, 11, 17, 26, 26, 21, 22, 24, 24, 27, 12, 32, 37, 29, 20, 11, 32, 23, 45, 29, 33, 28, 44, 23, 20, 8, 57, 67, 16, 43, 12, 27, 34, 14, 28, 29, 43, 44, 54, 26, 28, 66, 32, 30, 74, 14, 29, 28, 60, 22, 19, 76, 36, 28, 46, 49, 48, 19, 28, 44, 19, 23, 46, 90, 20, 40, 27, 63, 28, 31, 30, 43, 50
Offset: 1

Views

Author

Antti Karttunen, Sep 13 2016

Keywords

Links

Crossrefs

Cf. A276607, A276620.

Programs

Formula

a(n) = A276607(n) / 2.
Showing 1-4 of 4 results.

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