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 1-4 of 4 results.

A126398 Number of base 11 n-digit numbers with adjacent digits differing by two or less.

Original entry on oeis.org

1, 11, 49, 225, 1043, 4861, 22723, 106401, 498703, 2338691, 10970731, 51472161, 241518759, 1133320429, 5318237121, 24956866179, 117116084385, 549598276829, 2579143380799, 12103370927679, 56798597444915, 266544122924215
Offset: 0

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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 11 differing by one or less A126365.

Formula

G.f.: (1+4*x-19*x^2-8*x^3+19*x^4+x^5-2*x^6) / (1-7*x+9*x^2+11*x^3-11*x^4-2*x^5+x^6) (conjectured). - Colin Barker, Jul 17 2017

A126479 Number of base 11 n-digit numbers with adjacent digits differing by three or less.

Original entry on oeis.org

1, 11, 65, 399, 2473, 15381, 95757, 596341, 3714153, 23133309, 144085281, 897434333, 5589669241, 34815260805, 216846906193, 1350631326317, 8412409590489, 52396708044853, 326352989158113, 2032690173290461
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 11 differing by two or less A126398, one or less A126365.

Formula

G.f.: (1+4*x-10*x^2-16*x^3+6*x^4+8*x^5) / (1-7*x+2*x^2+18*x^3-2*x^4-8*x^5) (conjectured). - Colin Barker, Jul 17 2017

A126506 Number of base 11 n-digit numbers with adjacent digits differing by four or less.

Original entry on oeis.org

1, 11, 79, 591, 4441, 33391, 251077, 1887941, 14196143, 106746189, 802665137, 6035544031, 45383547985, 341256134861, 2566034493807, 19294987989285, 145086343307233, 1090959321972847, 8203337509713921, 61684010524412861
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 11 differing by three or less A126479, two or less A126398, one or less A126365.

Formula

G.f.: (1-x-x^2)*(1+4*x-2*x^2-4*x^3+2*x^4) / ((1-x)*(1-7*x-5*x^2+8*x^3+2*x^4-2*x^5)) (conjectured). - Colin Barker, Jul 17 2017

A126532 Number of base 11 n-digit numbers with adjacent digits differing by five or less.

Original entry on oeis.org

1, 11, 91, 781, 6691, 57343, 491429, 4211559, 36093157, 309319197, 2650872719, 22718040927, 194694139719, 1668533310731, 14299369323775, 122545928057115, 1050221456858969, 9000422339067177, 77133829015319501
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 11 differing by four or less A126506, three or less A126479, two or less A126398, one or less A126365.

Formula

G.f.: (1+3*x-3*x^2-4*x^3+x^4+x^5) / ((1+x)*(1-9*x+3*x^2+6*x^3-x^4-x^5)) (conjectured). - Colin Barker, Jul 17 2017
Showing 1-4 of 4 results.

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

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