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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A023603 Convolution of A023532 and A001950.

Original entry on oeis.org

2, 5, 9, 17, 25, 34, 48, 62, 78, 96, 116, 140, 165, 191, 220, 251, 284, 320, 359, 399, 439, 484, 530, 579, 632, 685, 741, 798, 858, 920, 984, 1052, 1123, 1196, 1269, 1344, 1423, 1503, 1585, 1673, 1761, 1852, 1946, 2039, 2136, 2236, 2336, 2441
Offset: 1

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A023605 Convolution of A023532 and A014306.

Original entry on oeis.org

0, 1, 1, 1, 3, 2, 3, 5, 5, 4, 6, 7, 7, 9, 8, 9, 11, 12, 12, 12, 13, 13, 16, 16, 16, 17, 18, 19, 20, 21, 21, 22, 24, 24, 24, 26, 25, 27, 29, 28, 29, 30, 32, 33, 32, 34, 35, 36, 36, 37, 38, 39, 41, 43, 41, 41, 44, 43, 44, 46, 47, 47, 50, 50, 50, 50, 51, 53, 55, 54, 55
Offset: 1

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A023606 Convolution of A023532 and primes.

Original entry on oeis.org

2, 3, 7, 12, 19, 27, 40, 53, 68, 90, 109, 140, 167, 196, 234, 273, 316, 359, 416, 463, 519, 586, 645, 714, 789, 866, 949, 1035, 1116, 1207, 1312, 1407, 1520, 1637, 1750, 1866, 2001, 2130, 2251, 2406, 2549, 2702, 2857, 3000, 3166, 3333, 3514
Offset: 1

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A023616 Self-convolution of A023532.

Original entry on oeis.org

1, 0, 2, 2, 1, 4, 3, 4, 4, 6, 5, 6, 9, 6, 9, 8, 10, 12, 11, 10, 13, 14, 13, 16, 15, 16, 16, 20, 17, 18, 21, 20, 23, 22, 23, 24, 23, 24, 28, 28, 27, 28, 31, 28, 31, 32, 31, 36, 33, 34, 35, 38, 38, 38, 39, 38, 41, 42, 41, 42, 45, 46, 47, 46, 45, 48, 49, 48, 52, 52, 51
Offset: 1

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A024308 a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k=[ (n+1)/2 ], s = (natural numbers >= 2), t = A023532.

Original entry on oeis.org

2, 0, 2, 5, 7, 6, 10, 9, 12, 17, 23, 22, 29, 26, 33, 31, 39, 48, 58, 55, 65, 63, 74, 72, 84, 82, 93, 106, 120, 118, 133, 131, 147, 145, 160, 157, 174, 171, 189, 208, 228, 226, 247, 243, 264, 261, 283, 280, 303, 300, 324, 321, 346, 370, 396, 393, 420, 417, 445, 442, 471, 468, 498
Offset: 1

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A024366 a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n+1-k), where k = [ (n+1)/2 ], s = A023532.

Original entry on oeis.org

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

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A024367 s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = A023532, t = (Fibonacci numbers).

Original entry on oeis.org

1, 1, 2, 3, 7, 11, 21, 34, 55, 89, 152, 246, 411, 665, 1097, 1775, 2872, 4647, 7574, 12255, 19918, 32228, 52290, 84607, 137130, 221881, 359011, 580892, 940513, 1521782, 2463282, 3985674, 6450553
Offset: 1

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A024369 s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = A023532, t = (1, p(1), p(2), ...).

Original entry on oeis.org

1, 2, 3, 5, 10, 16, 25, 35, 43, 53, 76, 86, 119, 137, 170, 196, 220, 246, 293, 329, 382, 412, 485, 521, 596, 642, 686, 732, 823, 869, 964, 1032, 1133, 1199, 1322, 1388, 1517, 1597, 1673, 1735, 1894, 1974, 2135, 2227, 2380, 2476, 2655, 2761, 2952, 3062, 3263, 3365
Offset: 1

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A024370 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 = (composite numbers).

Original entry on oeis.org

4, 6, 8, 9, 18, 21, 33, 37, 42, 47, 63, 69, 89, 96, 117, 126, 135, 142, 168, 178, 207, 217, 248, 259, 294, 307, 319, 332, 370, 385, 427, 443, 484, 503, 550, 568, 617, 636, 656, 675, 726, 747, 803, 825, 882, 906, 965, 991, 1054, 1079, 1144, 1172, 1201, 1230, 1298, 1324
Offset: 1

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A024372 s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = A023532, t = (odd natural numbers).

Original entry on oeis.org

1, 3, 5, 7, 14, 18, 29, 35, 41, 47, 64, 72, 93, 103, 128, 140, 152, 164, 195, 209, 244, 260, 299, 317, 360, 380, 400, 420, 469, 491, 544, 568, 625, 651, 712, 740, 805, 835, 865, 895, 966, 998, 1073, 1107, 1186, 1222, 1305, 1343, 1430, 1470, 1561, 1603, 1645, 1687, 1784
Offset: 1

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