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.

A055439 Distribution of first digit of mantissa following Benford's Law, using Sainte-Lague method to minimize chi-squared statistic.

Original entry on oeis.org

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

Views

Author

Henry Bottomley, May 17 2000

Keywords

Examples

			a(50)=8 so that after 50 terms we have had 15 1's, 9 2's, 6 3's, 5 4's, 4 5's, 3 6's, 3 7's, 3 8's and 2 9's

Links

Crossrefs

Cf. A055440, A055441, A055442.

A055441 Distribution of first digit of mantissa following Benford's Law, using largest remainder method with Hare quotas.

Original entry on oeis.org

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

Views

Author

Henry Bottomley, May 17 2000

Keywords

Examples

			a(50)=2 so that after 50 terms we have had 15 1's, 9 2's, 6 3's, 5 4's, 4 5's, 3 6's, 3 7's, 3 8's and 2 9's

Links

Crossrefs

Cf. A055439, A055440, A055442.

A055442 Distribution of first digit of mantissa following Benford's Law, using largest remainder method with Droop quotas.

Original entry on oeis.org

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

Views

Author

Henry Bottomley, May 17 2000

Keywords

Examples

			a(50)=8 so that after 50 terms we have had 15 1's, 9 2's, 6 3's, 5 4's, 4 5's, 3 6's, 3 7's, 3 8's and 2 9's

Links

Crossrefs

Cf. A055439, A055440, A055441.

A083855 Multiplicands in the list of numbers which are squares, twice squares, three times squares, or six times squares (A083854).

Original entry on oeis.org

1, 2, 3, 1, 6, 2, 1, 3, 1, 2, 6, 1, 3, 2, 1, 3, 1, 2, 6, 1, 2, 3, 1, 6, 2, 1, 3, 1, 2, 1, 3, 6, 2, 1, 3, 1, 2, 6, 1, 2, 3, 1, 2, 1, 6, 3, 1, 2, 1, 3, 6, 2, 1, 3, 1, 2, 1, 6, 3, 2, 1, 1, 2, 3, 6, 1, 2, 3, 1, 2, 6, 1, 3, 1, 2, 1, 6, 3, 2, 1, 1, 2, 3, 6, 1, 2, 3, 1, 2, 1, 6, 3, 1, 2, 1, 3, 6, 2, 1, 1, 3, 2, 1, 6, 2
Offset: 1

Views

Author

Henry Bottomley, May 06 2003

Keywords

Comments

1, 2, 3 and 6 appear in the ratios sqrt(6):sqrt(3):sqrt(2):1, i.e. with proportions 0.3713..., 0.2626..., 0.2144... and 0.1516... respectively. A083855 is that which would appear using the d'Hondt method (A055440) on these.

Examples

			A083854 starts 1, 2, 3, 4, 6, 8, 9, 12, 16, etc.; i.e. 1*1^2, 2*1^2, 3*1^2, 1*2^2, 6*1^2, 2*2^2, 1*3^2, 3*2^2, 1*4^2, etc. giving 1, 2, 3, 1, 6, 2, 1, 3, 1, etc.

Formula

a(n) =A007913(A083854(n)).
Showing 1-4 of 4 results.

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