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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A027092 a(n) = A027082(n, 2n-5).

Original entry on oeis.org

1, 3, 9, 31, 102, 328, 1035, 3217, 9880, 30062, 90803, 272697, 815228, 2428298, 7212179, 21370921, 63207913, 186668355, 550617011, 1622604097, 4777983482, 14060981252, 41360234037, 121616984851, 357510486913, 1050750138523
Offset: 3

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A027093 a(n) = A027082(n, 2n-6).

Original entry on oeis.org

1, 1, 5, 17, 57, 190, 623, 2010, 6395, 20103, 62561, 193062, 591637, 1802551, 5465275, 16503365, 49665179, 149033583, 446131159, 1332749213, 3974445543, 11834777320, 35196098205, 104558824915, 310332568225, 920350334943
Offset: 3

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A027094 a(n) = A027082(n, 2n-7).

Original entry on oeis.org

1, 3, 9, 31, 105, 352, 1168, 3828, 12396, 39698, 125878, 395686, 1234426, 3825911, 11790893, 36160491, 110429221, 336001043, 1019092233, 3082348295, 9300339633, 28002492673, 84156758459, 252507279805, 756547966323
Offset: 4

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A027095 a(n) = A027082(n, 2n-8).

Original entry on oeis.org

1, 1, 5, 17, 57, 193, 650, 2173, 7199, 23619, 76746, 247103, 788934, 2499707, 7866233, 24603551, 76538239, 236960031, 730506849, 2243545795, 6867375720, 20958167581, 63791696431, 193708118293, 586967142587, 1775245686845
Offset: 4

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A027096 a(n) = A027082(n, 2n-9).

Original entry on oeis.org

1, 3, 9, 31, 105, 355, 1198, 4024, 13429, 44479, 146145, 476347, 1540615, 4946425, 15774197, 49992571, 157545775, 493946713, 1541481630, 4790452228, 14831036177, 45759663403, 140751744489, 431730577935, 1320914941797
Offset: 5

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A027097 a(n) = A027082(n, 2n-10).

Original entry on oeis.org

1, 1, 5, 17, 57, 193, 653, 2206, 7431, 24920, 83099, 275334, 906103, 2961539, 9614823, 31014965, 99440907, 317028068, 1005424803, 3173208229, 9970459645, 31200384655, 97270715153, 302217221275, 936046187573, 2890888534252
Offset: 5

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Crossrefs

Cf. A027082.

A027099 a(n) = Sum_{0<=i<=i<=n} A027082(i, n+j).

Original entry on oeis.org

1, 3, 9, 28, 83, 244, 713, 2075, 6029, 17512, 50891, 148037, 431151, 1257365, 3671731, 10735948, 31429745, 92116592, 270268647, 793741973, 2333221387, 6864280611, 20210115899, 59545932370, 175558633893, 517915132777
Offset: 0

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Crossrefs

Partial sums of A027098.

Extensions

Title corrected by Sean A. Irvine, Oct 23 2019

A027100 Diagonal sum of left justified array T given by A027082.

Original entry on oeis.org

1, 1, 2, 3, 3, 6, 8, 11, 17, 25, 34, 53, 76, 107, 163, 236, 335, 506, 734, 1050, 1575, 2290, 3291, 4915, 7156, 10321, 15362, 22392, 32381, 48075, 70135, 101633, 150591, 219843, 319101, 472067, 689535, 1002196, 1480703, 2163798, 3148403, 4646697, 6792904, 9892961, 14588004
Offset: 0

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Formula

a(n) = Sum_{k=0..n} A027052(n-k, k). - Sean A. Irvine, Oct 23 2019

Extensions

More terms from Sean A. Irvine, Oct 23 2019

A027101 a(n) = diagonal sum of right justified array T given by A027082.

Original entry on oeis.org

1, 1, 3, 9, 18, 49, 127, 331, 883, 2376, 6439, 17591, 48347, 133589, 370883, 1033997, 2893498, 8124303, 22880569, 64616728, 182943204, 519146325, 1476337528, 4206621803, 12008000771, 34335363519, 98332343337, 282026580873
Offset: 0

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A027102 a(n) = greatest number in row n of array T given by A027082.

Original entry on oeis.org

1, 1, 3, 6, 16, 41, 108, 299, 828, 2299, 6401, 17875, 50062, 140601, 399267, 1144669, 3283839, 9427981, 27090715, 77911897, 224272499, 646157234, 1863317958, 5377939756, 15535195892, 45060652609, 131334677147, 382907083385
Offset: 0

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