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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A027133 Greatest number in row n of array T given by A027113.

Original entry on oeis.org

1, 2, 4, 9, 23, 59, 155, 429, 1188, 3298, 9181, 25634, 71781, 201569, 571795, 1639244, 4702499, 13500396, 38790727, 111555296, 321100627, 925086012, 2667533646, 7698716068, 22238169212, 64473303788, 187912261301, 547850119836
Offset: 0

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Author

Clark Kimberling

Keywords

A027134 a(n) = self-convolution of row n of array T given by A027113.

Original entry on oeis.org

1, 5, 18, 76, 311, 1245, 4882, 18818, 71529, 268785, 1000422, 3693814, 13545669, 49382777, 179117070, 646786228, 2326351527, 8338190053, 29792805066, 106152792682, 377267681865, 1337727360957, 4733406748722, 16716506981356
Offset: 0

Views

Author

Clark Kimberling

Keywords

A027135 a(n) = Sum_{k=0..n} T(n,k) * T(n,2n-k), with T given by A027113.

Original entry on oeis.org

1, 3, 11, 46, 180, 707, 2729, 10377, 39045, 145493, 537749, 1973915, 7202499, 26144901, 94475783, 340028026, 1219451204, 4359473611, 15540448583, 55255188413, 196004642045, 693798921723, 2451058691129, 8643625483966
Offset: 0

Views

Author

Clark Kimberling

Keywords

A027136 a(n) = Sum_{k=0..n-1} T(n,k) * T(n,2n-k), with T given by A027113.

Original entry on oeis.org

2, 7, 30, 131, 538, 2153, 8441, 32484, 123292, 462673, 1719899, 6343170, 23237876, 84641287, 306758202, 1106900323, 3978716442, 14252356483, 50897604269, 181263039820, 643928439234, 2282348057593, 8072881497390
Offset: 1

Views

Author

Clark Kimberling

Keywords

Crossrefs

Cf. A027113.

A027137 a(n) = Sum_{k=0..2n} (k+1) * A027113(n, k).

Original entry on oeis.org

1, 9, 40, 163, 606, 2149, 7378, 24767, 81784, 266721, 861426, 2760523, 8790108, 27841469, 87789916, 275762167, 863353934, 2695201705, 8392538682, 26074810851, 80850124228, 250242934405, 773288315888, 2386084417999
Offset: 0

Views

Author

Clark Kimberling

Keywords

A027139 T(n,n+1) + T(n,n+2) + ... + T(n,2n), T given by A027113.

Original entry on oeis.org

2, 7, 23, 72, 218, 648, 1907, 5581, 16290, 47502, 138521, 404183, 1180402, 3450899, 10099605, 29589780, 86781374, 254761882, 748580729, 2201465799, 6479301022, 19083705249, 56246157177, 165881453558, 489506759446
Offset: 0

Views

Author

Clark Kimberling

Keywords

A027140 a(n) = Sum_{k=0..n} T(n,k) * T(n,n+k), with T given by A027113.

Original entry on oeis.org

1, 3, 12, 57, 264, 1261, 6141, 30276, 150853, 758145, 3836896, 19534086, 99957904, 513756551, 2650822585, 13724435509, 71275344341, 371177285715, 1937791196448, 10139548682524, 53165765660928, 279301910804937
Offset: 0

Views

Author

Clark Kimberling

Keywords

A027141 a(n) = Sum_{k=0..2n-1} T(n,k) * T(n,k+1), with T given by A027113.

Original entry on oeis.org

3, 23, 165, 1218, 9247, 71688, 564759, 4506005, 36324407, 295341956, 2418783687, 19932773439, 165151576215, 1374850036253, 11493442158373, 96443092570534, 811995039077311, 6857352935798972, 58071096513853991, 493014496906492215, 4195315394988567303
Offset: 1

Views

Author

Clark Kimberling

Keywords

Extensions

More terms from Sean A. Irvine, Oct 23 2019

A027142 a(n) = Sum_{k=0..2n-2} T(n,k) * T(n,k+2), with T given by A027113.

Original entry on oeis.org

12, 105, 831, 6648, 53545, 434458, 3548871, 29166324, 241006333, 2001145585, 16688238416, 139711675493, 1173762075101, 9892582661593, 83617537623039, 708654873428000, 6020421349942965, 51261344063828713, 437370998284452284, 3738875265960650016
Offset: 2

Views

Author

Clark Kimberling

Keywords

Extensions

More terms from Sean A. Irvine, Oct 23 2019

A027143 a(n) = Sum_{k=0..2n-3} T(n,k) * T(n,k+3), with T given by A027113.

Original entry on oeis.org

57, 486, 4117, 34760, 293086, 2471917, 20870169, 176467252, 1494672812, 12682766442, 107814252502, 918166760699, 7832993240285, 66936986352534, 572934789920969, 4911478255448828, 42165255645650628, 362494201554529232, 3120475613849051712, 26895832224848130557
Offset: 3

Views

Author

Clark Kimberling

Keywords

Crossrefs

Cf. A027113.

Extensions

More terms from Sean A. Irvine, Oct 23 2019
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