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.

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A024373 a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = A023532, t = A000201 (lower Wythoff sequence).

Original entry on oeis.org

1, 3, 4, 6, 12, 15, 25, 29, 34, 39, 52, 60, 77, 84, 106, 115, 125, 135, 160, 172, 199, 213, 245, 259, 295, 310, 326, 343, 383, 400, 443, 463, 510, 531, 580, 603, 656, 680, 704, 729, 787, 812, 874, 901, 965, 995, 1061, 1093, 1164, 1196, 1270, 1303, 1337, 1372, 1450, 1486
Offset: 1

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A024374 a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = A023532, t = A001950 (upper Wythoff sequence).

Original entry on oeis.org

2, 5, 7, 10, 20, 25, 41, 48, 56, 64, 86, 98, 126, 138, 173, 188, 204, 220, 261, 280, 325, 347, 399, 422, 480, 505, 531, 558, 623, 651, 721, 753, 829, 863, 943, 980, 1066, 1105, 1144, 1184, 1278, 1319, 1419, 1463, 1567, 1615, 1723, 1774, 1889, 1941, 2061, 2115, 2170
Offset: 1

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A024376 a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = A023532, t = A014306.

Original entry on oeis.org

0, 1, 1, 0, 2, 1, 2, 3, 3, 2, 4, 3, 4, 5, 5, 5, 5, 6, 6, 6, 8, 7, 8, 9, 9, 9, 9, 10, 10, 10, 11, 11, 13, 12, 12, 13, 13, 13, 15, 14, 15, 15, 17, 16, 17, 17, 18, 19, 19, 19, 20, 20, 20, 21, 21, 20, 22, 21, 22, 23, 24, 23, 24, 25, 25, 25, 26, 26, 28, 27, 28, 28, 29, 29, 31, 30, 31, 31, 32, 32, 33, 34, 34, 33
Offset: 1

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A024856 a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (natural numbers), t = A023532.

Original entry on oeis.org

0, 1, 3, 2, 4, 3, 6, 9, 13, 12, 17, 16, 21, 19, 25, 32, 40, 39, 47, 45, 54, 52, 62, 60, 71, 82, 94, 92, 105, 103, 117, 115, 130, 127, 142, 139, 155, 172, 190, 188, 207, 205, 224, 221, 241, 238, 259, 256, 278, 275, 298, 322, 346, 343, 368, 365, 391, 388, 415, 412, 440, 437, 466
Offset: 2

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A024871 s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (natural numbers >= 2), t = A023532.

Original entry on oeis.org

0, 2, 5, 3, 6, 5, 9, 12, 17, 16, 22, 21, 26, 24, 31, 39, 48, 47, 55, 53, 63, 61, 72, 70, 82, 93, 106, 104, 118, 116, 131, 129, 145, 141, 157, 154, 171, 189, 208, 206, 226, 224, 243, 240, 261, 258, 280, 277, 300, 297, 321, 346, 370, 367, 393, 390, 417, 414, 442, 439, 468, 465, 495
Offset: 2

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A025066 a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n-k+1), where k = [ n/2 ] and s = A023532.

Original entry on oeis.org

0, 1, 1, 0, 2, 1, 2, 2, 3, 2, 3, 4, 3, 4, 4, 5, 6, 5, 5, 6, 7, 6, 8, 7, 8, 8, 10, 8, 9, 10, 10, 11, 11, 11, 12, 11, 12, 14, 14, 13, 14, 15, 14, 15, 16, 15, 18, 16, 17, 17, 19, 19, 19, 19, 19, 20, 21, 20, 21, 22, 23, 23, 23, 22, 24, 24, 24, 26, 26, 25, 26, 28, 27, 27, 28, 27, 31, 28, 30, 30, 30, 30, 32, 32
Offset: 1

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A025070 a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = A023532, t = (composite numbers).

Original entry on oeis.org

6, 8, 9, 10, 21, 24, 37, 42, 47, 51, 69, 75, 96, 102, 126, 135, 142, 150, 178, 187, 217, 227, 259, 272, 307, 319, 332, 345, 385, 401, 443, 457, 503, 522, 568, 587, 636, 656, 675, 693, 747, 769, 825, 847, 906, 929, 991, 1016, 1079, 1105, 1172, 1201, 1230, 1256, 1324, 1354
Offset: 1

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A025071 s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = A023532, t = (F(2), F(3), F(4), ...).

Original entry on oeis.org

2, 3, 5, 8, 18, 29, 55, 89, 144, 233, 398, 644, 1076, 1741, 2872, 4647, 7519, 12166, 19829, 32084, 52146, 84374, 136897, 221504, 359011, 580892, 939903, 1520795, 2462295, 3984077, 6448956, 10434630, 16887767, 27324981, 44219513, 71548675, 115779134, 187334574, 303113708
Offset: 1

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Extensions

More terms from Sean A. Irvine, Aug 05 2019

A025072 s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = A023532, t = (odd natural numbers).

Original entry on oeis.org

3, 5, 7, 9, 18, 22, 35, 41, 47, 53, 72, 80, 103, 113, 140, 152, 164, 176, 209, 223, 260, 276, 317, 335, 380, 400, 420, 440, 491, 513, 568, 592, 651, 677, 740, 768, 835, 865, 895, 925, 998, 1030, 1107, 1141, 1222, 1258, 1343, 1381, 1470, 1510, 1603, 1645, 1687, 1729, 1828
Offset: 1

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Crossrefs

Cf. A023532.

A025073 a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = A023532, t = A000201 (lower Wythoff sequence).

Original entry on oeis.org

3, 4, 6, 8, 15, 19, 29, 34, 39, 43, 60, 66, 84, 94, 115, 125, 135, 144, 172, 182, 213, 226, 259, 274, 310, 326, 343, 359, 400, 418, 463, 483, 531, 551, 603, 626, 680, 704, 729, 754, 812, 839, 901, 928, 995, 1023, 1093, 1124, 1196, 1228, 1303, 1337, 1372, 1405, 1486, 1521, 1605
Offset: 1

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