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.

Previous Showing 11-18 of 18 results.

A323120 Number of compositions of n where the difference between largest and smallest parts equals three.

Original entry on oeis.org

0, 0, 2, 3, 12, 23, 58, 123, 266, 557, 1168, 2400, 4911, 9982, 20196, 40643, 81499, 162899, 324678, 645404, 1280042, 2533565, 5005449, 9872464, 19442206, 38234945, 75096856, 147324049, 288705896, 565201569, 1105475313, 2160338661, 4218403428, 8230986025
Offset: 3

Views

Author

Alois P. Heinz, Jan 05 2019

Keywords

Crossrefs

Column k=3 of A214258.

Formula

a(n) ~ c * d^n, where d = A086088 = 1.92756197548292530426190586173662216869855... is the real root of the equation d^4 - d^3 - d^2 - d - 1 = 0 and c = 0.566342887702651534849280952809003081138499070062015666102331676335... is the real root of the equation 563*c^4 - 563*c^3 + 174*c^2 - 22*c + 1 = 0. - Vaclav Kotesovec, Jan 07 2019

A323121 Number of compositions of n where the difference between largest and smallest parts equals four.

Original entry on oeis.org

0, 0, 2, 3, 12, 23, 61, 132, 294, 639, 1377, 2922, 6178, 12953, 27021, 56106, 116030, 239090, 491202, 1006361, 2056755, 4194230, 8536023, 17340787, 35168957, 71217347, 144012394, 290835635, 586637532, 1181960546, 2378920014, 4783326807, 9609050910, 19286596636
Offset: 4

Views

Author

Alois P. Heinz, Jan 05 2019

Keywords

Crossrefs

Column k=4 of A214258.

Formula

a(n) ~ c * d^n, where d = 1.9659482366454853371899373759344013961513... is the real root of the equation d^5 - d^4 - d^3 - d^2 - d - 1 = 0 or d^6 - 2*d^5 + 1 = 0 and c = 0.53792611681915978492363258130015596032604545873525287924... is the real root of the equation 9584*c^5 - 9584*c^4 + 3160*c^3 - 480*c^2 + 35*c - 1 = 0. - Vaclav Kotesovec, Jan 07 2019

A323122 Number of compositions of n where the difference between largest and smallest parts equals five.

Original entry on oeis.org

0, 0, 2, 3, 12, 23, 61, 135, 303, 667, 1459, 3135, 6718, 14288, 30211, 63586, 133322, 278508, 580013, 1204583, 2495522, 5158394, 10641188, 21911154, 45041042, 92443955, 189464447, 387794944, 792761978, 1618774478, 3301913189, 6728377951, 13697691852
Offset: 5

Views

Author

Alois P. Heinz, Jan 05 2019

Keywords

Crossrefs

Column k=5 of A214258.

A323123 Number of compositions of n where the difference between largest and smallest parts equals six.

Original entry on oeis.org

0, 0, 2, 3, 12, 23, 61, 135, 306, 676, 1487, 3217, 6931, 14832, 31564, 66844, 141021, 296460, 621290, 1298416, 2706869, 5630554, 11688444, 24219318, 50099741, 103475201, 213410807, 439563765, 904260858, 1858097728, 3813986918, 7820873757, 16022252780
Offset: 6

Views

Author

Alois P. Heinz, Jan 05 2019

Keywords

Crossrefs

Column k=6 of A214258.

A323124 Number of compositions of n where the difference between largest and smallest parts equals seven.

Original entry on oeis.org

0, 0, 2, 3, 12, 23, 61, 135, 306, 679, 1496, 3245, 7013, 15045, 32108, 68201, 144297, 304227, 639461, 1340353, 2802566, 5846953, 12173864, 25300472, 52492698, 108742226, 224946169, 464714125, 958872587, 1976242406, 4068708686, 8368344952, 17195541858
Offset: 7

Views

Author

Alois P. Heinz, Jan 05 2019

Keywords

Crossrefs

Column k=7 of A214258.

A323125 Number of compositions of n where the difference between largest and smallest parts equals eight.

Original entry on oeis.org

0, 0, 2, 3, 12, 23, 61, 135, 306, 679, 1499, 3254, 7041, 15127, 32321, 68745, 145654, 307507, 647246, 1358592, 2844722, 5943310, 12392127, 25790949, 53587142, 111169216, 230298492, 476459514, 984532396, 2032073964, 4189741347, 8629836681, 17758744396
Offset: 8

Views

Author

Alois P. Heinz, Jan 05 2019

Keywords

Crossrefs

Column k=8 of A214258.

A323126 Number of compositions of n where the difference between largest and smallest parts equals nine.

Original entry on oeis.org

0, 0, 2, 3, 12, 23, 61, 135, 306, 679, 1499, 3257, 7050, 15155, 32403, 68958, 146198, 308864, 650526, 1366381, 2862979, 5985534, 12488703, 26009872, 54079483, 112268717, 232738777, 481845900, 996363218, 2057944305, 4246084055, 8752094504, 18023139943
Offset: 9

Views

Author

Alois P. Heinz, Jan 05 2019

Keywords

Crossrefs

Column k=9 of A214258.

A323127 Number of compositions of n where the difference between largest and smallest parts equals ten.

Original entry on oeis.org

0, 0, 2, 3, 12, 23, 61, 135, 306, 679, 1499, 3257, 7053, 15164, 32431, 69040, 146411, 309408, 651883, 1369661, 2870768, 6003795, 12530945, 26106516, 54298625, 112761718, 233840142, 484291242, 1001762899, 2069809195, 4272039859, 8808647879, 18145909421
Offset: 10

Views

Author

Alois P. Heinz, Jan 05 2019

Keywords

Crossrefs

Column k=10 of A214258.
Previous Showing 11-18 of 18 results.