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 1-8 of 8 results.

A050926 Binary representation of A007908(n).

Original entry on oeis.org

1, 1100, 1111011, 10011010010, 11000000111001, 11110001001000000, 100101101011010000111, 101111000110000101001110, 111010110111100110100010101, 1011011111110111000001110000111110
Offset: 1

Views

Author

Klaus Strassburger (strass(AT)ddfi.uni-duesseldorf.de), Dec 30 1999

Keywords

Crossrefs

Formula

a(n) = A007088(A007908(n)). - Seiichi Manyama, Apr 23 2022

A097582 Base 7 representation of the concatenation of the first n numbers with the most significant digits first.

Original entry on oeis.org

1, 15, 234, 3412, 50664, 1022634, 13331215, 206636142, 3026236221, 614636352655, 155123512633260, 35001313215554565, 10403265603212022112, 2132066345452131466644, 434014101450663623262042
Offset: 1

Views

Author

Cino Hilliard, Aug 29 2004

Keywords

Comments

Consider numbers of the form 1, 12, 123, 1234, ..., N. Find the highest power of 7^p such that 7^p < N. Then p = [log(N)/log(7)] and for 0 <= qi <= 6 [N/7^p] = q1 + r1 [r1/7^(p-1)] = q2 + r2 ........................ rp/7^1 = qp + rp+1 rp+1/7^0 = qp+1 0 For N = 1234, p = [log(1234)/log(7)] = 3 division quot rem 1234/7^3 = 3 205 205/7^2 = 4 9 9/7^1 = 1 2 2/7^0 = 2 0 The sequence of quotients, top down, forms the entry in the table for 1234. Obviously this algorithm works for any N.

Crossrefs

Formula

a(n) = A007093(A007908(n)). - Seiichi Manyama, Apr 23 2022

A097583 Octal representation of the concatenation of the first n decimal numbers with the most significant digits first.

Original entry on oeis.org

1, 14, 173, 2322, 30071, 361100, 4553207, 57060516, 726746425, 133767016076, 21756176604103, 3404420603635070, 536705213574536755, 104420417226264430242, 15305164771273206577527
Offset: 1

Views

Author

Cino Hilliard, Aug 29 2004

Keywords

Examples

			1234 decimal is 2322 octal the 4th entry in the table.
		

Crossrefs

Programs

  • Mathematica
    Table[FromDigits[IntegerDigits[FromDigits[Flatten[IntegerDigits/@ Range[ n]]],8]],{n,20}] (* Harvey P. Dale, Aug 11 2021 *)

Formula

a(n) = A007094(A007908(n)). - Seiichi Manyama, Apr 23 2022

A353111 Base-3 representation of A000422(n).

Original entry on oeis.org

1, 210, 102220, 12221001, 2202111220, 1020020120010, 112101212202101, 20002221022010100, 2112211110001000200, 1001100202012200011001, 10221012122122021102212210, 120212211002121222001110211020, 2100201122222221220212010020220201
Offset: 1

Views

Author

Seiichi Manyama, Apr 24 2022

Keywords

Crossrefs

Programs

  • Ruby
    def A(k, n)
      (1..n).map{|i| (1..i).to_a.reverse.join.to_i.to_s(k).to_i}
    end
    p A(3, 20)

Formula

a(n) = A007089(A000422(n)).

A353104 Base-4 representation of A007908(n).

Original entry on oeis.org

1, 30, 1323, 103102, 3000321, 132021000, 10231122013, 233012011032, 13112330310111, 23133313001300332, 101331301332300201003, 130010202012003303220320, 223313011101131330223313231, 1010202010033102302310203002202
Offset: 1

Views

Author

Seiichi Manyama, Apr 23 2022

Keywords

Crossrefs

Programs

  • Ruby
    def A(k, n)
      (1..n).map{|i| (1..i).to_a.join.to_i.to_s(k).to_i}
    end
    p A(4, 20)

Formula

a(n) = A007090(A007908(n)).

A353105 Base-5 representation of A007908(n).

Original entry on oeis.org

1, 22, 443, 14414, 343340, 12422311, 304001232, 11130030203, 223101104124, 200240443211120, 130211343340003021, 112140204001002213422, 100421133100401442024323, 40324014240311242321340224, 31241112311230113034201201130
Offset: 1

Views

Author

Seiichi Manyama, Apr 23 2022

Keywords

Crossrefs

Programs

  • Ruby
    def A(k, n)
      (1..n).map{|i| (1..i).to_a.join.to_i.to_s(k).to_i}
    end
    p A(5, 20)

Formula

a(n) = A007091(A007908(n)).

A353106 Base-6 representation of A007908(n).

Original entry on oeis.org

1, 20, 323, 5414, 133053, 2351320, 42243331, 1120335530, 20130035113, 5401014424514, 2343052550252003, 1114323133240053240, 321321022332303252301, 132140014431255340214310, 42015444551405453142112503
Offset: 1

Views

Author

Seiichi Manyama, Apr 23 2022

Keywords

Crossrefs

Programs

  • Ruby
    def A(k, n)
      (1..n).map{|i| (1..i).to_a.join.to_i.to_s(k).to_i}
    end
    p A(6, 20)

Formula

a(n) = A007092(A007908(n)).

A353107 Base-9 representation of A007908(n).

Original entry on oeis.org

1, 13, 146, 1621, 17836, 207313, 2281451, 25206070, 277266780, 34771513601, 4330564256733, 535110486286816, 65858371163036861, 8202185121837583406, 1113465620754570813253, 134741562223525280514741, 16425841240157671153405780
Offset: 1

Views

Author

Seiichi Manyama, Apr 23 2022

Keywords

Crossrefs

Programs

  • Ruby
    def A(k, n)
      (1..n).map{|i| (1..i).to_a.join.to_i.to_s(k).to_i}
    end
    p A(9, 20)

Formula

a(n) = A007095(A007908(n)).
Showing 1-8 of 8 results.