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 1-3 of 3 results.

A177933 Decimal expansion of (232405+sqrt(71216963807))/348378.

Original entry on oeis.org

1, 4, 3, 3, 1, 2, 7, 4, 2, 6, 7, 2, 2, 2, 9, 1, 1, 3, 0, 6, 9, 3, 4, 5, 3, 5, 5, 4, 9, 7, 5, 2, 3, 5, 5, 5, 7, 3, 6, 9, 3, 4, 0, 0, 8, 4, 0, 6, 9, 9, 9, 7, 1, 4, 6, 6, 5, 9, 6, 4, 6, 7, 0, 3, 1, 7, 6, 1, 3, 7, 8, 0, 1, 6, 6, 3, 2, 3, 6, 8, 1, 2, 3, 2, 5, 7, 5, 9, 2, 8, 7, 6, 3, 6, 4, 5, 9, 6, 2, 1, 6, 8, 8, 9, 9
Offset: 1

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Author

Klaus Brockhaus, May 15 2010

Keywords

Comments

Continued fraction expansion of (232405+sqrt(71216963807))/348378 is A010889.
Agrees with A060997 for n < 14, with A177270 for n < 13, with A177034 for n < 11, with A177160 for n < 9.

Examples

			(232405+sqrt(71216963807))/348378 = 1.43312742672229113069...
		

Crossrefs

Cf. A177934 (decimal expansion of sqrt(71216963807)), A010889 (repeat 1, 2, 3, 4, 5, 6, 7, 8, 9, 10), A060997 (decimal representation of continued fraction 1, 2, 3, 4, 5, 6, 7, ...), A177270 (decimal expansion of (684125+sqrt(635918528029))/1033802), A177034 (decimal expansion of (9280+3*sqrt(13493990))/14165), A177160 (decimal expansion of (4502+sqrt(29964677))/6961).

Programs

  • Mathematica
    First[RealDigits[(232405+Sqrt[71216963807])/348378,10,120]] (* Paolo Xausa, Jan 09 2024 *)

A177161 Decimal expansion of sqrt(29964677).

Original entry on oeis.org

5, 4, 7, 4, 0, 0, 0, 0, 9, 1, 3, 4, 0, 8, 8, 3, 4, 1, 7, 6, 8, 7, 5, 2, 4, 3, 4, 0, 1, 9, 1, 4, 7, 2, 6, 8, 0, 2, 1, 2, 7, 3, 3, 2, 1, 1, 5, 4, 0, 0, 7, 1, 8, 0, 0, 8, 1, 9, 2, 6, 9, 5, 0, 3, 6, 6, 5, 2, 8, 4, 4, 5, 9, 6, 3, 3, 4, 8, 6, 6, 7, 7, 5, 5, 6, 6, 0, 9, 4, 9, 2, 2, 4, 3, 9, 8, 1, 7, 5, 6, 5, 9, 5, 4, 4
Offset: 4

Views

Author

Klaus Brockhaus, May 04 2010

Keywords

Comments

Continued fraction expansion of sqrt(29964677) is 5474 followed by all 10948's sequence.
29964677 is prime.

Examples

			sqrt(29964677) = 5474.00009134088341768752...
		

Crossrefs

Cf. A177160 (decimal expansion of (4502+sqrt(29964677))/6961).

Programs

  • Mathematica
    RealDigits[Sqrt[29964677], 10, 100][[1]] (* Amiram Eldar, May 07 2021 *)

A010886 Period 7: repeat [1, 2, 3, 4, 5, 6, 7].

Original entry on oeis.org

1, 2, 3, 4, 5, 6, 7, 1, 2, 3, 4, 5, 6, 7, 1, 2, 3, 4, 5, 6, 7, 1, 2, 3, 4, 5, 6, 7, 1, 2, 3, 4, 5, 6, 7, 1, 2, 3, 4, 5, 6, 7, 1, 2, 3, 4, 5, 6, 7, 1, 2, 3, 4, 5, 6, 7, 1, 2, 3, 4, 5, 6, 7, 1, 2, 3, 4, 5, 6, 7, 1, 2, 3, 4, 5, 6, 7, 1, 2, 3, 4
Offset: 0

Views

Author

Keywords

Comments

Partial sums are given by A130485(n)+n+1. - Hieronymus Fischer, Jun 08 2007
Decimal expansion of 1234567/9999999 = 0.123456712345671234567... - Eric Desbiaux, Nov 03 2008

Crossrefs

Cf. A177160 (decimal expansion of (4502+sqrt(29964677))/6961).

Programs

Formula

a(n) = 1 + (n mod 7). - Paolo P. Lava, Nov 21 2006
a(n) = A010876(n) + 1. G.f.: (Sum_{k=0..6} (k+1)*x^k)/(1-x^7). Also (7*x^8-8*x^7+1)/((1-x^7)*(1-x)^2). - Hieronymus Fischer, Jun 08 2007
From Wesley Ivan Hurt, Jul 18 2016: (Start)
a(n) = a(n-7) for n>6.
a(n) = 1 - 6*floor(n/7) + Sum_{k=1..6} floor((n + k)/7). (End)
Showing 1-3 of 3 results.