The On-Line Encyclopedia of Integer Sequences (OEIS)

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A300594

E.g.f. A(x) satisfies: [x^n] A(x)^(n^3) = n^3 * [x^(n-1)] A(x)^(n^3) for n>=1.
(history; published version)

#12 by Vaclav Kotesovec at Wed Oct 14 02:39:55 EDT 2020

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approved

#11 by Vaclav Kotesovec at Wed Oct 14 02:39:50 EDT 2020

FORMULA

a(n) ~ c * n!^4 * n^3, where c = 0.40774346023... - Vaclav Kotesovec, Oct 14 2020

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#10 by Paul D. Hanna at Fri Mar 09 21:23:24 EST 2018

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#9 by Paul D. Hanna at Fri Mar 09 21:23:22 EST 2018

EXAMPLE

The table of coefficients of x^k in A(x)^(n^23) begins:

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#8 by Paul D. Hanna at Fri Mar 09 20:57:57 EST 2018

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#7 by Paul D. Hanna at Fri Mar 09 20:57:54 EST 2018

EXAMPLE

The table of coefficients of x^n k in A(x)^(n^2) begins:

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#6 by Paul D. Hanna at Fri Mar 09 20:56:33 EST 2018

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#5 by Paul D. Hanna at Fri Mar 09 20:56:31 EST 2018

NAME

E.g.f. A(x) satisfies: [x^n] A(x)^(n^3) = n^3 * [x^(n-1)] A(x)^(n^3) for n>=1.

COMMENTS

Compare e.g.f. to: [x^(n-1)] exp(x)^(n^3) = n^2 * [x^(n-1)] exp(x)^(n^3) for n>=1.

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editing

#4 by Paul D. Hanna at Fri Mar 09 20:49:46 EST 2018

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#3 by Paul D. Hanna at Fri Mar 09 20:49:38 EST 2018

LINKS

Paul D. Hanna, <a href="/A300594/b300594.txt">Table of n, a(n) for n = 0..200</a>