The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A000906 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A000906

Exponential generating function: 2*(1+3*x)/(1-2*x)^(7/2).
(history; published version)

#40 by Michael Somos at Sun Jan 01 10:47:10 EST 2017

STATUS

editing

approved

#39 by Michael Somos at Sun Jan 01 10:47:02 EST 2017

COMMENTS

With offset 1, a strong divisibility sequence, that is, gcd(a(n), a(m)) = a(gcd(n, m)) for all positive integers n and m. - ~~~_Michael Somos_, Dec 30 2016

STATUS

approved

editing

Discussion

Sun Jan 01

10:47

Michael Somos: Fixed my typo.

#38 by Michael Somos at Fri Dec 30 23:53:45 EST 2016

STATUS

editing

approved

#37 by Michael Somos at Fri Dec 30 23:53:34 EST 2016

COMMENTS

With offset 1, a strong divisibility sequence, that is, gcd(a(n), a(m)) = a(gcd(n, m)) for all positive integers n and m. - ~~~

EXAMPLE

G.f. = 2 + 20*x + 210*x^2 + 2520*x^3 + 34650*x^4 + 540540*x^5 + ...

STATUS

approved

editing

Discussion

Fri Dec 30

23:53

Michael Somos: Added more info.

#36 by Joerg Arndt at Wed Aug 17 12:49:10 EDT 2016

STATUS

proposed

approved

#35 by Michel Marcus at Wed Aug 17 12:41:48 EDT 2016

STATUS

editing

proposed

#34 by Michel Marcus at Wed Aug 17 12:41:42 EDT 2016

REFERENCES

H. W. Gould, Harris Kwong, Jocelyn Quaintance, On Certain Sums of Stirling Numbers with Binomial Coefficients, J. Integer Sequences, 18 (2015), #15.9.6.

LINKS

H. W. Gould, Harris Kwong, Jocelyn Quaintance, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL18/Kwong/kwong9.html">On Certain Sums of Stirling Numbers with Binomial Coefficients</a>, J. Integer Sequences, 18 (2015), #15.9.6.

STATUS

proposed

editing

#33 by Ilya Gutkovskiy at Wed Aug 17 11:30:53 EDT 2016

STATUS

editing

proposed

#32 by Ilya Gutkovskiy at Wed Aug 17 11:30:38 EDT 2016

FORMULA

a(n) ~ 2^(n+7/2)*n^(n+3)/(3*exp(n)). - Ilya Gutkovskiy, Aug 17 2016

STATUS

proposed

editing

#31 by Rick L. Shepherd at Wed Aug 17 11:04:30 EDT 2016

STATUS

editing

proposed