login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A344107 a(n) = n! * LaguerreL(n, -n+2). 2
1, 0, 2, 34, 648, 14988, 414160, 13373190, 495057024, 20686611736, 963532779264, 49510386761130, 2782552712473600, 169808382346687524, 11182975029610555392, 790535958617173397902, 59708339321680507207680, 4798728602043471360126000, 408910082803875174679773184 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

In general, for fixed k>=0, n!*LaguerreL(n, -n+k) ~ exp((n-k)/phi - n) * phi^(2*n+1) * n^n / 5^(1/4).

LINKS

Table of n, a(n) for n=0..18.

FORMULA

a(n) ~ exp((n-2)/phi - n) * phi^(2*n+1) * n^n / 5^(1/4), where phi = A001622 = (1+sqrt(5))/2 is the golden ratio.

MATHEMATICA

Table[n!*LaguerreL[n, -n+2], {n, 0, 20}]

PROG

(PARI) a(n) = n!*subst(pollaguerre(n), x, 2-n); \\ Michel Marcus, May 09 2021

CROSSREFS

Cf. A001622, A277373, A343849, A344106.

Sequence in context: A092883 A134495 A173208 * A224882 A227935 A264669

Adjacent sequences:  A344104 A344105 A344106 * A344108 A344109 A344110

KEYWORD

nonn

AUTHOR

Vaclav Kotesovec, May 09 2021

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified November 30 18:37 EST 2021. Contains 349424 sequences. (Running on oeis4.)