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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.

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A029639 Odd numbers in the (1,2)-Pascal triangle A029635 that are different from 1.

Original entry on oeis.org

3, 5, 5, 9, 7, 9, 7, 25, 11, 27, 55, 13, 9, 35, 77, 105, 91, 49, 15, 17, 11, 81, 19, 65, 285, 21, 13, 77, 275, 825, 385, 121, 23, 935, 2079, 25, 15, 1287, 2717, 4719, 3289, 169, 27, 119, 1729, 7007, 9867, 5005, 819, 29, 17, 135, 665, 2275, 5733, 11011, 16445, 19305, 17875
Offset: 0

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Author

Mohammad K. Azarian

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A029642 Distinct odd numbers in the (1,2)-Pascal triangle A029635.

Original entry on oeis.org

1, 3, 5, 9, 7, 25, 11, 27, 55, 13, 35, 77, 105, 91, 49, 15, 17, 81, 19, 65, 285, 21, 275, 825, 385, 121, 23, 935, 2079, 1287, 2717, 4719, 3289, 169, 119, 1729, 7007, 9867, 5005, 819, 29, 135, 665, 2275, 5733, 11011, 16445, 19305, 17875, 13013, 7371, 3185, 1015, 225
Offset: 0

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Author

Mohammad K. Azarian

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A029644 Numbers to the left of the central numbers of the (1,2)-Pascal triangle A029635.

Original entry on oeis.org

1, 1, 1, 4, 1, 5, 1, 6, 14, 1, 7, 20, 1, 8, 27, 50, 1, 9, 35, 77, 1, 10, 44, 112, 182, 1, 11, 54, 156, 294, 1, 12, 65, 210, 450, 672, 1, 13, 77, 275, 660, 1122, 1, 14, 90, 352, 935, 1782, 2508, 1, 15, 104, 442, 1287, 2717, 4290, 1, 16, 119, 546, 1729, 4004, 7007, 9438, 1, 17
Offset: 0

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Author

Mohammad K. Azarian

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A029645 Numbers to the left of the central elements of the (1,2)-Pascal triangle A029635 that are different from 1.

Original entry on oeis.org

4, 5, 6, 14, 7, 20, 8, 27, 50, 9, 35, 77, 10, 44, 112, 182, 11, 54, 156, 294, 12, 65, 210, 450, 672, 13, 77, 275, 660, 1122, 14, 90, 352, 935, 1782, 2508, 15, 104, 442, 1287, 2717, 4290, 16, 119, 546, 1729, 4004, 7007, 9438, 17, 135, 665, 2275, 5733, 11011, 16445, 18
Offset: 0

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Author

Mohammad K. Azarian

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More terms from David W. Wilson

A029646 Odd numbers to the left of the central elements of the (1,2)-Pascal triangle A029635.

Original entry on oeis.org

1, 1, 1, 1, 5, 1, 1, 7, 1, 27, 1, 9, 35, 77, 1, 1, 11, 1, 65, 1, 13, 77, 275, 1, 935, 1, 15, 1287, 2717, 1, 119, 1729, 7007, 1, 17, 135, 665, 2275, 5733, 11011, 16445, 1, 1, 19, 1, 189, 1, 21, 209, 1311, 1, 7125, 1, 23, 8645, 32319, 1, 275, 10395, 127281, 1, 25, 299, 2277
Offset: 0

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Author

Mohammad K. Azarian

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More terms from David W. Wilson

A029648 Numbers to the right of the central elements of the (1,2)-Pascal triangle A029635.

Original entry on oeis.org

2, 2, 5, 2, 7, 2, 16, 9, 2, 25, 11, 2, 55, 36, 13, 2, 91, 49, 15, 2, 196, 140, 64, 17, 2, 336, 204, 81, 19, 2, 714, 540, 285, 100, 21, 2, 1254, 825, 385, 121, 23, 2, 2640, 2079, 1210, 506, 144, 25, 2, 4719, 3289, 1716, 650, 169, 27, 2, 9867, 8008, 5005, 2366, 819, 196, 29
Offset: 0

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Author

Mohammad K. Azarian

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A029649 Numbers to the right of the central elements of the (1,2)-Pascal triangle A029635 that are different from 2.

Original entry on oeis.org

5, 7, 16, 9, 25, 11, 55, 36, 13, 91, 49, 15, 196, 140, 64, 17, 336, 204, 81, 19, 714, 540, 285, 100, 21, 1254, 825, 385, 121, 23, 2640, 2079, 1210, 506, 144, 25, 4719, 3289, 1716, 650, 169, 27, 9867, 8008, 5005, 2366, 819, 196, 29, 17875, 13013, 7371, 3185, 1015
Offset: 0

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Author

Mohammad K. Azarian

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More terms from David W. Wilson

A029650 Odd numbers to the right of the central elements of the (1,2)-Pascal triangle A029635.

Original entry on oeis.org

5, 7, 9, 25, 11, 55, 13, 91, 49, 15, 17, 81, 19, 285, 21, 825, 385, 121, 23, 2079, 25, 4719, 3289, 169, 27, 9867, 5005, 819, 29, 17875, 13013, 7371, 3185, 1015, 225, 31, 33, 289, 35, 1785, 37, 8721, 2109, 361, 39, 35853, 41, 128877, 46683, 441, 43, 415701, 59983
Offset: 0

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Author

Mohammad K. Azarian

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More terms from David W. Wilson

A029652 Odd numbers in the (1,2)-Pascal triangle A029635.

Original entry on oeis.org

1, 1, 3, 1, 5, 1, 5, 9, 7, 1, 9, 1, 7, 25, 11, 1, 27, 55, 13, 1, 9, 35, 77, 105, 91, 49, 15, 1, 17, 1, 11, 81, 19, 1, 65, 285, 21, 1, 13, 77, 275, 825, 385, 121, 23, 1, 935, 2079, 25, 1, 15, 1287, 2717, 4719, 3289, 169, 27, 1, 119, 1729, 7007, 9867, 5005, 819, 29, 1, 17, 135
Offset: 1

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Author

Mohammad K. Azarian

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More terms from David W. Wilson
Leading 1 removed as a consequence of change in A029635 by Sean A. Irvine, Mar 01 2020

A123558 Multiplicative encoding of the (1,2)-Pascal triangle (or Lucas triangle) A029635.

Original entry on oeis.org

2, 18, 1350, 24806250, 94588417300781250, 117849324069921797604001373181152343750, 527608657124852026883960737403192593816085584608183988660956158325750160217285156250
Offset: 1

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Author

Jonathan Vos Post, Nov 04 2006

Keywords

Comments

This is to A029635 the (1,2)-Pascal triangle (or Lucas triangle) read by rows" as A007188 "Multiplicative encoding of Pascal triangle: Product p(i+1)^C(n,i)" is to A007318 "Pascal's triangle read by rows."

Examples

			a(1) = 2^1 = 2.
a(2) = 2^1 * 3^2 = 18.
a(3) = 2^1 * 3^3 * 5^2 = 1350.
a(4) = 2^1 * 3^4 * 5^5 * 7^2 = 24806250.
a(5) = 2^1 * 3^5 * 5^9 * 7^7 * 11^2 = 94588417300781250.
a(6) = 2^1 * 3^6 * 5^14 * 7^16 * 11^9 * 13^2 = 117849324069921797604001373181152343750.

Crossrefs

Cf. A000040, A007188, A007318, A009766, A029635.

Formula

a(n) = Product_{i=0..n} prime(i+1)^T(n,i), where T(n,i) are the (1,2)-Pascal triangle (or Lucas triangle) as in A029635.
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