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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A023656 Convolution of (F(2), F(3), F(4), ...) and A014306.

Original entry on oeis.org

0, 1, 3, 5, 9, 16, 27, 45, 74, 120, 195, 317, 514, 833, 1349, 2184, 3535, 5721, 9258, 14980, 24239, 39221, 63462, 102685, 166149, 268836, 434987, 703825, 1138814, 1842641, 2981457, 4824100, 7805559
Offset: 1

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A023661 Convolution of odd numbers and A014306.

Original entry on oeis.org

0, 1, 4, 8, 13, 20, 29, 40, 53, 67, 82, 99, 118, 139, 162, 187, 214, 243, 274, 306, 339, 374, 411, 450, 491, 534, 579, 626, 675, 726, 779, 834, 891, 950, 1010, 1071, 1134, 1199, 1266, 1335, 1406, 1479, 1554, 1631, 1710, 1791, 1874, 1959, 2046
Offset: 1

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A023666 Convolution of A000201 and A014306.

Original entry on oeis.org

0, 1, 4, 7, 11, 18, 25, 34, 45, 56, 69, 83, 98, 116, 135, 155, 178, 201, 227, 253, 279, 308, 338, 370, 404, 438, 476, 514, 553, 596, 638, 683, 730, 777, 827, 876, 927, 981, 1034, 1092, 1149, 1208, 1269, 1331, 1396, 1462, 1528, 1599, 1669, 1741
Offset: 1

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A023669 Convolution of A001950 and A014306.

Original entry on oeis.org

0, 2, 7, 12, 19, 30, 42, 57, 75, 93, 114, 137, 162, 191, 222, 255, 292, 330, 372, 414, 457, 504, 553, 605, 660, 716, 777, 839, 903, 972, 1041, 1114, 1190, 1267, 1347, 1427, 1510, 1597, 1684, 1777, 1870, 1966, 2065, 2166, 2271, 2378, 2486, 2600
Offset: 1

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A023673 Convolution of A014306 with itself.

Original entry on oeis.org

0, 0, 1, 2, 1, 2, 4, 4, 5, 6, 5, 6, 9, 8, 9, 10, 11, 12, 14, 14, 13, 14, 17, 16, 17, 18, 19, 20, 23, 22, 23, 24, 25, 26, 27, 26, 27, 30, 30, 30, 31, 32, 33, 36, 35, 36, 37, 38, 39, 40, 41, 42, 43, 46, 45, 46, 45, 46, 49, 48, 49, 50, 51, 52, 55, 54, 55, 56, 58, 58, 59
Offset: 1

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A023674 Convolution of A014306 (starting 0,0,1,1,0,1,1,1,1,...) and primes.

Original entry on oeis.org

0, 2, 5, 8, 14, 23, 34, 47, 64, 81, 107, 132, 161, 196, 231, 270, 319, 370, 419, 476, 538, 599, 670, 743, 818, 901, 992, 1077, 1170, 1273, 1370, 1487, 1606, 1717, 1840, 1974, 2115, 2252, 2401, 2544, 2697, 2860, 3023, 3184, 3367, 3540, 3723
Offset: 1

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A023869 a(n) = 1*t(n) + 2*t(n-1) + ... + k*t(n+1-k), where k=floor((n+1)/2) and t is A014306.

Original entry on oeis.org

0, 1, 3, 2, 4, 3, 6, 10, 15, 14, 19, 18, 24, 23, 30, 29, 37, 36, 45, 54, 64, 63, 74, 73, 85, 84, 97, 96, 110, 109, 124, 123, 139, 138, 154, 152, 169, 167, 185, 204, 224, 223, 244, 243, 265, 264, 287, 286, 310, 309, 334, 333, 359, 358, 385, 383, 410, 408, 436, 434, 463, 461, 491, 489
Offset: 1

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Extensions

Title simplified by Sean A. Irvine, Jun 12 2019

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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A024467 a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (Fibonacci numbers), t = A014306.

Original entry on oeis.org

0, 1, 2, 1, 3, 2, 4, 7, 12, 11, 19, 18, 30, 28, 46, 41, 67, 54, 88, 142, 231, 230, 373, 371, 601, 596, 965, 952, 1541, 1507, 2439, 2350, 3803, 3570, 5776, 5166, 8359, 6761, 10940, 17702, 28643, 28635, 46333, 46312, 74935, 74880, 121159, 121015, 195807, 195430, 316213
Offset: 1

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A024477 s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (Lucas numbers), t = A014306.

Original entry on oeis.org

0, 1, 4, 3, 5, 4, 8, 15, 26, 25, 41, 40, 66, 62, 102, 91, 149, 120, 196, 318, 515, 514, 833, 829, 1343, 1332, 2157, 2128, 3445, 3369, 5453, 5254, 8503, 7982, 12916, 11550, 18691, 15117, 24462, 39582, 64047, 64029, 103603, 103556, 167559, 167436, 270919, 270597
Offset: 1

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Crossrefs

Cf. A014306.
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