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.

Showing 1-5 of 5 results.

A126418 Number of base 31 n-digit numbers with adjacent digits differing by two or less.

Original entry on oeis.org

1, 31, 149, 725, 3543, 17361, 85223, 418899, 2061105, 10149405, 50011235, 246566635, 1216199805, 6001382075, 29624479933, 146279954561, 722500541847, 3569422111283, 17638150070523, 87175432519409, 430936179702041
Offset: 0

Views

Author

R. H. Hardin, Dec 28 2006

Keywords

Comments

[Empirical] a(base,n)=a(base-1,n)+5^(n-1) for base>=2n-1; a(base,n)=a(base-1,n)+5^(n-1)-2 when base=2n-2

Crossrefs

Cf. Base 31 differing by one or less A126385.

A126499 Number of base 31 n-digit numbers with adjacent digits differing by three or less.

Original entry on oeis.org

1, 31, 205, 1379, 9333, 63399, 431717, 2944947, 20115561, 137543107, 941258689, 6445801999, 44166431335, 302771722951, 2076414065529, 14244985903467, 97754711626643, 671000257052461, 4606822746884183, 31634499742407797
Offset: 0

Views

Author

R. H. Hardin, Dec 27 2006

Keywords

Comments

[Empirical] a(base,n)=a(base-1,n)+7^(n-1) for base>=3n-2; a(base,n)=a(base-1,n)+7^(n-1)-2 when base=3n-3

Crossrefs

Cf. Base 31 differing by two or less A126418, one or less A126385.

A126526 Number of base 31 n-digit numbers with adjacent digits differing by four or less.

Original entry on oeis.org

1, 31, 259, 2211, 19019, 164343, 1424235, 12368115, 107567215, 936593437, 8162112673, 71178552195, 621048996119, 5421039243545, 47334756754423, 413416811445643, 3611458265770503, 31553302705135081, 275714829055325817
Offset: 0

Views

Author

R. H. Hardin, Dec 28 2006

Keywords

Comments

[Empirical] a(base,n)=a(base-1,n)+9^(n-1) for base>=4n-3; a(base,n)=a(base-1,n)+9^(n-1)-2 when base=4n-4

Crossrefs

Cf. Base 31 differing by three or less A126499, two or less A126418, one or less A126385.

A126552 Number of base 31 n-digit numbers with adjacent digits differing by five or less.

Original entry on oeis.org

1, 31, 311, 3201, 33241, 346973, 3633345, 38128475, 400712365, 4215612885, 44381119457, 467467444891, 4925548461045, 51911345979157, 547195680951947, 5768641876348183, 60819051384616763, 641254077894118141
Offset: 0

Views

Author

R. H. Hardin, Dec 28 2006

Keywords

Comments

[Empirical] a(base,n)=a(base-1,n)+11^(n-1) for base>=5n-4; a(base,n)=a(base-1,n)+11^(n-1)-2 when base=5n-5

Crossrefs

Cf. Base 31 differing by four or less A126526, three or less A126499, two or less A126418, one or less A126385.

A360488 31-gonal numbers: a(n) = n*(29*n-27)/2.

Original entry on oeis.org

0, 1, 31, 90, 178, 295, 441, 616, 820, 1053, 1315, 1606, 1926, 2275, 2653, 3060, 3496, 3961, 4455, 4978, 5530, 6111, 6721, 7360, 8028, 8725, 9451, 10206, 10990, 11803, 12645, 13516, 14416, 15345, 16303, 17290, 18306, 19351, 20425, 21528, 22660, 23821, 25011, 26230
Offset: 0

Views

Author

Nikolaos Pantelidis, Feb 09 2023

Keywords

Links

Crossrefs

Cf. A360436, A051867, A051869.
Cf. A126385, A126418, A126499.

Programs

  • Mathematica
    Table[n (29 n - 27)/2, {n, 0, 30}]

Formula

G.f.: x*(1 + 28*x)/(1 - x)^3.
E.g.f.: exp(x)*(x + 29*x^2/2).
Showing 1-5 of 5 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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